56507136 has 144 divisors (see below), whose sum is σ = 179741184. Its totient is φ = 15409152.

The previous prime is 56507131. The next prime is 56507153. The reversal of 56507136 is 63170565.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56507097 and 56507106.

It is not an unprimeable number, because it can be changed into a prime (56507131) 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, 123420 + ... + 123876.

Almost surely, 2^56507136 is an apocalyptic number.

56507136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89870592).

56507136 is an abundant number, since it is smaller than the sum of its proper divisors (123234048).

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

56507136 is a wasteful number, since it uses less digits than its factorization.

56507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 56507136 is about 7517.1228538584. The cubic root of 56507136 is about 383.7376680494.

The spelling of 56507136 in words is "fifty-six million, five hundred seven thousand, one hundred thirty-six".