57135456 has 240 divisors, whose sum is σ = 199051776. Its totient is φ = 15738624.

The previous prime is 57135383. The next prime is 57135461. The reversal of 57135456 is 65453175.

57135456 is a `hidden beast` number, since 571 + 35 + 4 + 56 = 666.

57135456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (63000) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 57135456.

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 39 ways as a sum of consecutive naturals, for example, 852735 + ... + 852801.

Almost surely, 2^57135456 is an apocalyptic number.

57135456 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 57135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99525888).

57135456 is an abundant number, since it is smaller than the sum of its proper divisors (141916320).

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

57135456 is a wasteful number, since it uses less digits than its factorization.

57135456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 57135456 is about 7558.7999047468. The cubic root of 57135456 is about 385.1547272615.

The spelling of 57135456 in words is "fifty-seven million, one hundred thirty-five thousand, four hundred fifty-six".