# 157 (number)

Short description: Natural number
 ← 156 157 158 →
Cardinalone hundred fifty-seven
Ordinal157th
(one hundred fifty-seventh)
Factorizationprime
Prime37th
Divisors1, 157
Greek numeralΡΝΖ´
Roman numeralCLVII
Binary100111012
Ternary122113
Quaternary21314
Quinary11125
Senary4216
Octal2358
Duodecimal11112
Hexadecimal9D16
Vigesimal7H20
Base 364D36

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

## In mathematics

157 is:

• the 37th prime number. The next prime is 163 and the previous prime is 151.
• a balanced prime, because the arithmetic mean of those primes yields 157.
• an emirp.
• a Chen prime.
• the largest known prime p which $\displaystyle{ \frac{p^p+1}{p+1} }$ is also prime. (see ).
• the least irregular prime with index 2.
• a palindromic number in bases 7 (3137) and 12 (11112).
• a repunit in base 12, so it is a unique prime in the same base.
• a prime whose digits sum to a prime. (see ).
• a prime index prime.

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

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

## 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.
• "157" is a song by Tom Rosenthal where the lyrics merely consist of the numbers from 1 to 157. The song was released on April Fools' Day, 2020.

## In sports

• Ken Carpenter held the US record in discus, and won the NCAA national title with a toss of 157 feet in 1936.
• Steph Curry of the Golden State Warriors holds the NBA record for 157 consecutive games with a 3-point field goal made (from November 13, 2014 to November 4, 2016).

## 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 train
• 157th Street (Manhattan), a street in New York City

157 is also:

## 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