56754152 has 128 divisors (see below), whose sum is σ = 140448000. Its totient is φ = 21337344.

The previous prime is 56754151. The next prime is 56754157. The reversal of 56754152 is 25145765.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 56754152 = 140³ + 378³ = 266³ + 336³.

Its product of digits (42000) is a multiple of the sum of its prime factors (120).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (56754151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1319843 + ... + 1319885.

It is an arithmetic number, because the mean of its divisors is an integer number (1097250).

Almost surely, 2^56754152 is an apocalyptic number.

56754152 is a gapful number since it is divisible by the number (52) 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 56754152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70224000).

56754152 is an abundant number, since it is smaller than the sum of its proper divisors (83693848).

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

56754152 is a wasteful number, since it uses less digits than its factorization.

56754152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its digits is 42000, while the sum is 35.

The square root of 56754152 is about 7533.5351595383. The cubic root of 56754152 is about 384.2960137963.

The spelling of 56754152 in words is "fifty-six million, seven hundred fifty-four thousand, one hundred fifty-two".