57136416 has 96 divisors (see below), whose sum is σ = 158578560. Its totient is φ = 17977344.

The previous prime is 57136381. The next prime is 57136421. The reversal of 57136416 is 61463175.

57136416 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 (96).

Its product of digits (15120) is a multiple of the sum of its prime factors (378).

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, 249390 + ... + 249618.

It is an arithmetic number, because the mean of its divisors is an integer number (1651860).

Almost surely, 2^57136416 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 57136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79289280).

57136416 is an abundant number, since it is smaller than the sum of its proper divisors (101442144).

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

57136416 is a wasteful number, since it uses less digits than its factorization.

57136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 57136416 is about 7558.8634066240. The cubic root of 57136416 is about 385.1568843952.

The spelling of 57136416 in words is "fifty-seven million, one hundred thirty-six thousand, four hundred sixteen".