57139200 has 252 divisors, whose sum is σ = 211275168. Its totient is φ = 14745600.

The previous prime is 57139189. The next prime is 57139207. The reversal of 57139200 is 293175.

57139200 is a `hidden beast` number, since 571 + 3 + 92 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57139207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1843185 + ... + 1843215.

Almost surely, 2^57139200 is an apocalyptic number.

57139200 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 57139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105637584).

57139200 is an abundant number, since it is smaller than the sum of its proper divisors (154135968).

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

57139200 is a wasteful number, since it uses less digits than its factorization.

57139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57139200 is about 7559.0475590513. The cubic root of 57139200 is about 385.1631399466.

The spelling of 57139200 in words is "fifty-seven million, one hundred thirty-nine thousand, two hundred".