56137264 has 40 divisors (see below), whose sum is σ = 115907760. Its totient is φ = 26247168.

The previous prime is 56137259. The next prime is 56137271. The reversal of 56137264 is 46273165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48112 + ... + 49264.

It is an arithmetic number, because the mean of its divisors is an integer number (2897694).

Almost surely, 2^56137264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56137264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57953880).

56137264 is an abundant number, since it is smaller than the sum of its proper divisors (59770496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56137264 is a wasteful number, since it uses less digits than its factorization.

56137264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 56137264 is about 7492.4804971384. The cubic root of 56137264 is about 382.8985726735.

The spelling of 56137264 in words is "fifty-six million, one hundred thirty-seven thousand, two hundred sixty-four".