56137400 has 192 divisors, whose sum is σ = 160704000. Its totient is φ = 17971200.

The previous prime is 56137397. The next prime is 56137439. The reversal of 56137400 is 473165.

56137400 = T₆₉ + T₇₀ + ... + T₆₉₅.

56137400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56137400.

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, 710561 + ... + 710639.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2^56137400 is an apocalyptic number.

56137400 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 56137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

56137400 is an abundant number, since it is smaller than the sum of its proper divisors (104566600).

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

56137400 is a wasteful number, since it uses less digits than its factorization.

56137400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 56137400 is about 7492.4895728990. The cubic root of 56137400 is about 382.8988818808.

The spelling of 56137400 in words is "fifty-six million, one hundred thirty-seven thousand, four hundred".