57133600 has 72 divisors (see below), whose sum is σ = 147717108. Its totient is φ = 21504000.

The previous prime is 57133577. The next prime is 57133607. The reversal of 57133600 is 633175.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14047504 + 43086096 = 3748^2 + 6564^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57133607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11500 + ... + 15700.

Almost surely, 2^57133600 is an apocalyptic number.

57133600 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 57133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73858554).

57133600 is an abundant number, since it is smaller than the sum of its proper divisors (90583508).

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

57133600 is a wasteful number, since it uses less digits than its factorization.

57133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 57133600 is about 7558.6771329380. The cubic root of 57133600 is about 385.1505567343.

Adding to 57133600 its reverse (633175), we get a palindrome (57766775).

The spelling of 57133600 in words is "fifty-seven million, one hundred thirty-three thousand, six hundred".