137309257 has 8 divisors (see below), whose sum is σ = 148443200. Its totient is φ = 126566064.

The previous prime is 137309239. The next prime is 137309269. The reversal of 137309257 is 752903731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137309257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (137309857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96957 + ... + 98362.

It is an arithmetic number, because the mean of its divisors is an integer number (18555400).

Almost surely, 2^137309257 is an apocalyptic number.

It is an amenable number.

137309257 is a deficient number, since it is larger than the sum of its proper divisors (11133943).

137309257 is a wasteful number, since it uses less digits than its factorization.

137309257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195375.

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 137309257 is about 11717.9032680766. The cubic root of 137309257 is about 515.9012803653.

The spelling of 137309257 in words is "one hundred thirty-seven million, three hundred nine thousand, two hundred fifty-seven".