137907657 has 8 divisors (see below), whose sum is σ = 204307680. Its totient is φ = 91938420.

The previous prime is 137907647. The next prime is 137907667. The reversal of 137907657 is 756709731.

It is an interprime number because it is at equal distance from previous prime (137907647) and next prime (137907667).

It is not a de Polignac number, because 137907657 - 2⁶ = 137907593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137907647) 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, 2553819 + ... + 2553872.

It is an arithmetic number, because the mean of its divisors is an integer number (25538460).

Almost surely, 2^137907657 is an apocalyptic number.

It is an amenable number.

137907657 is a deficient number, since it is larger than the sum of its proper divisors (66400023).

137907657 is an equidigital number, since it uses as much as digits as its factorization.

137907657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107700 (or 5107694 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 137907657 is about 11743.4090876542. The cubic root of 137907657 is about 516.6496347259.

The spelling of 137907657 in words is "one hundred thirty-seven million, nine hundred seven thousand, six hundred fifty-seven".