56137000 has 64 divisors (see below), whose sum is σ = 133333200. Its totient is φ = 22118400.

The previous prime is 56136989. The next prime is 56137007. The reversal of 56137000 is 73165.

It can be written as a sum of positive squares in 8 ways, for example, as 1406596 + 54730404 = 1186^2 + 7398^2 .

It is not an unprimeable number, because it can be changed into a prime (56137007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72616 + ... + 73384.

Almost surely, 2^56137000 is an apocalyptic number.

56137000 is a gapful number since it is divisible by the number (50) 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 56137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66666600).

56137000 is an abundant number, since it is smaller than the sum of its proper divisors (77196200).

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

56137000 is a wasteful number, since it uses less digits than its factorization.

56137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 56137000 is about 7492.4628794543. The cubic root of 56137000 is about 382.8979724460.

The spelling of 56137000 in words is "fifty-six million, one hundred thirty-seven thousand".