57135936 has 112 divisors (see below), whose sum is σ = 177686208. Its totient is φ = 15974400.

The previous prime is 57135917. The next prime is 57135943. The reversal of 57135936 is 63953175.

57135936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 57135894 and 57135903.

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 15 ways as a sum of consecutive naturals, for example, 26416 + ... + 28496.

It is an arithmetic number, because the mean of its divisors is an integer number (1586484).

Almost surely, 2^57135936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88843104).

57135936 is an abundant number, since it is smaller than the sum of its proper divisors (120550272).

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

57135936 is a wasteful number, since it uses less digits than its factorization.

57135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2110 counting only the distinct ones).

The product of its digits is 85050, while the sum is 39.

The square root of 57135936 is about 7558.8316557521. The cubic root of 57135936 is about 385.1558058314.

The spelling of 57135936 in words is "fifty-seven million, one hundred thirty-five thousand, nine hundred thirty-six".