56137200 has 240 divisors, whose sum is σ = 211819776. Its totient is φ = 12441600.

The previous prime is 56137199. The next prime is 56137253. The reversal of 56137200 is 273165.

56137200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344319 + ... + 344481.

Almost surely, 2^56137200 is an apocalyptic number.

56137200 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 56137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105909888).

56137200 is an abundant number, since it is smaller than the sum of its proper divisors (155682576).

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

56137200 is a wasteful number, since it uses less digits than its factorization.

56137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 56137200 is about 7492.4762261885. The cubic root of 56137200 is about 382.8984271640.

The spelling of 56137200 in words is "fifty-six million, one hundred thirty-seven thousand, two hundred".