56185137 has 16 divisors (see below), whose sum is σ = 83794560. Its totient is φ = 37206000.

The previous prime is 56185127. The next prime is 56185139. The reversal of 56185137 is 73158165.

56185137 is a `hidden beast` number, since 5 + 618 + 5 + 1 + 37 = 666.

It is not a de Polignac number, because 56185137 - 2⁷ = 56185009 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56185139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814 + ... + 10967.

It is an arithmetic number, because the mean of its divisors is an integer number (5237160).

Almost surely, 2^56185137 is an apocalyptic number.

It is an amenable number.

56185137 is a deficient number, since it is larger than the sum of its proper divisors (27609423).

56185137 is a wasteful number, since it uses less digits than its factorization.

56185137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13941 (or 13935 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 56185137 is about 7495.6745527004. The cubic root of 56185137 is about 383.0073850967.

It can be divided in two parts, 56 and 185137, that added together give a cube (185193 = 57³).

The spelling of 56185137 in words is "fifty-six million, one hundred eighty-five thousand, one hundred thirty-seven".