56137536 has 420 divisors, whose sum is σ = 220731588. Its totient is φ = 13934592.

The previous prime is 56137493. The next prime is 56137537. The reversal of 56137536 is 63573165.

It is a happy number.

56137536 is a `hidden beast` number, since 5 + 613 + 7 + 5 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 30735936 = 5040^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (56700) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 56137536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56137537) 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 59 ways as a sum of consecutive naturals, for example, 3302200 + ... + 3302216.

Almost surely, 2^56137536 is an apocalyptic number.

56137536 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 56137536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110365794).

56137536 is an abundant number, since it is smaller than the sum of its proper divisors (164594052).

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

56137536 is a wasteful number, since it uses less digits than its factorization.

56137536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 56137536 is about 7492.4986486485. The cubic root of 56137536 is about 382.8991910877.

The spelling of 56137536 in words is "fifty-six million, one hundred thirty-seven thousand, five hundred thirty-six".