157905657 has 36 divisors (see below), whose sum is σ = 282282624. Its totient is φ = 83285280.

The previous prime is 157905647. The next prime is 157905659. The reversal of 157905657 is 756509751.

It is a happy number.

157905657 is a `hidden beast` number, since 15 + 79 + 0 + 565 + 7 = 666.

It is not a de Polignac number, because 157905657 - 2⁴ = 157905641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157905659) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3232 + ... + 18062.

It is an arithmetic number, because the mean of its divisors is an integer number (7841184).

Almost surely, 2^157905657 is an apocalyptic number.

It is an amenable number.

157905657 is a deficient number, since it is larger than the sum of its proper divisors (124376967).

157905657 is a wasteful number, since it uses less digits than its factorization.

157905657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14870 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The square root of 157905657 is about 12566.0517665653. The cubic root of 157905657 is about 540.5043949709.

The spelling of 157905657 in words is "one hundred fifty-seven million, nine hundred five thousand, six hundred fifty-seven".