157 (number)

← 156 157 158 →
← 150 151 152 153 154 155 156 157 158 159 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred fifty-seven
Ordinal	157th (one hundred and fifty-seventh)
Factorization	prime
Prime	37th
Divisors	1, 157
Roman numeral	CLVII
Binary	100111012
Ternary	122113
Quaternary	21314
Quinary	11125
Senary	4216
Octal	2358
Duodecimal	11112
Hexadecimal	9D16
Vigesimal	7H20
Base 36	4D36

157 (one hundred [and] fifty-seven) is the number following 156 and preceding 158.

In mathematics

157 is a prime number. The next prime is 163 and the previous prime is 151, with which 157 forms a prime triplet. Taking the arithmetic mean of those primes yields 157, thus it is a balanced prime.

In base 10, 157² is 24649, and 158² is 24964, which uses the same digits. Numbers having this property are listed in  A072841. The previous entry is 13, and the next entry after 157 is 913.

157 is a repunit in base 12 (111), so it is a unique prime in the same base.

The simplest right angle triangle with rational sides that has area 157 has the longest side with a denominator of 45 digits.

157 is also an emirp, a Chen prime, and the least irregular prime with index 2.

157 is the largest known prime p which $\frac{p^p+1}{p+1}$ is also prime. (see  A056826)

In the military

• USCGC Cuyahoga (WIX-157) was a United States Coast Guard Cutter built in 1926
• USNS Paoli (T-AO-157) was a United States Navy Type T2 tanker during World War II
• USS Alcona (AK-157) was a United States Navy Alamosa class cargo ship during World War II
• USS Caravan (AM-157) was a United States Navy Admirable class minesweeper during World War II
• USS Dickerson (DD-157) was a United States Navy Wickes class destroyer during World War II
• USS Fechteler (DE-157) was a United States Navy Buckley class destroyer escort during World War II
• USS General C. C. Ballou (AP-157) was a United States Navy General G. O. Squier class transport ship during World War II
• USS King County (AG-157) was a United States Navy LST-542 tank landing ship during World War II
• USS Napa (APA-157) was a United States Navy ship during World War II
• USS Orvetta (IX-157) was a United States Navy transport military ship during World War II
• USS Remlick (SP-157) was a United States Navy yacht during World War I
• ZIL-157 is a 2.5-ton truck produced in post-World War II Russia

In music

• "157 Riverside Avenue" is a song by REO Speedwagon from their debut album, REO Speedwagon in 1971. Its title refers to a Westport, Connecticut address where the band stayed while recording it.
• Piano Sonata No. 1 in E major, D. 157 is a piano sonata in three movements by Franz Schubert.

In sports

• Ken Carpenter held the US record in discus, and won the NCAA national title with a toss of 157 feet in 1936

In transportation

• The British Rail Class 157 was the designation for a range of Diesel multiple unit trains of the Sprinter family
• London Buses route 157
• American Airlines Flight 157 from New York City bound for Mexico City crashed on November 29, 1949
• 157th Street (IRT Broadway – Seventh Avenue Line), a New York City Subway station at Broadway in Manhattan served by the 1 trains
• 157th Street (Manhattan), a street in New York City

In other fields

157 is also:

• The year AD 157 or 157 BC
• 157 AH is a year in the Islamic calendar that corresponds to 773–774 CE
• The atomic number of an element temporarily called Unpentseptium
• 157 Dejanira is a main belt asteroid
• O157, Escherichia coli O157:H7
• Financial Accounting Standards Board Statement No. 157 defines fair value
• South Qu'appelle No. 157, Saskatchewan is a rural municipality in Saskatchewan, Canada
• United States Department of State Form DS-157 is Supplemental Nonimmigrant Visa Application
• One57, a partially completed skyscraper at 157 West 57th Street in New York City, on which the crane partially collapsed during Hurricane Sandy

See also

• List of highways numbered 157
• United Nations Security Council Resolution 157
• United States Supreme Court cases, Volume 157
• Pennsylvania House of Representatives, District 157
• Township 157-30, Lake of the Woods County, Minnesota

External links

• The Number 157
• Prime Curios: 157