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 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 super-prime (37 is 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" 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.
References
External links
The Number 157 Prime Curios: 157