56137032 has 96 divisors (see below), whose sum is σ = 179412480. Its totient is φ = 15517440.

The previous prime is 56137027. The next prime is 56137049. The reversal of 56137032 is 23073165.

It is a happy number.

56137032 is a `hidden beast` number, since 561 + 3 + 70 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56136987 and 56137005.

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 23 ways as a sum of consecutive naturals, for example, 13828 + ... + 17420.

It is an arithmetic number, because the mean of its divisors is an integer number (1868880).

Almost surely, 2^56137032 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 56137032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89706240).

56137032 is an abundant number, since it is smaller than the sum of its proper divisors (123275448).

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

56137032 is a wasteful number, since it uses less digits than its factorization.

56137032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56137032 is about 7492.4650149333. The cubic root of 56137032 is about 382.8980452010.

The spelling of 56137032 in words is "fifty-six million, one hundred thirty-seven thousand, thirty-two".