157137 has 4 divisors (see below), whose sum is σ = 209520. Its totient is φ = 104756.

The previous prime is 157133. The next prime is 157141. The reversal of 157137 is 731751.

157137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 731751 = 3 ⋅243917.

It is an interprime number because it is at equal distance from previous prime (157133) and next prime (157141).

It is a cyclic number.

It is not a de Polignac number, because 157137 - 2² = 157133 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (157133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26187 + ... + 26192.

It is an arithmetic number, because the mean of its divisors is an integer number (52380).

2¹⁵⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

157137 is a deficient number, since it is larger than the sum of its proper divisors (52383).

157137 is an equidigital number, since it uses as much as digits as its factorization.

157137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52382.

The product of its digits is 735, while the sum is 24.

The square root of 157137 is about 396.4050958300. The cubic root of 157137 is about 53.9625941223.

Adding to 157137 its reverse (731751), we get a palindrome (888888).

The spelling of 157137 in words is "one hundred fifty-seven thousand, one hundred thirty-seven".