57135600 has 180 divisors, whose sum is σ = 202386600. Its totient is φ = 14922240.

The previous prime is 57135593. The next prime is 57135601. The reversal of 57135600 is 653175.

57135600 is a `hidden beast` number, since 57 + 1 + 3 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57135601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212266 + ... + 212534.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 2^57135600 is an apocalyptic number.

57135600 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 57135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101193300).

57135600 is an abundant number, since it is smaller than the sum of its proper divisors (145251000).

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

57135600 is a wasteful number, since it uses less digits than its factorization.

57135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 57135600 is about 7558.8094300624. The cubic root of 57135600 is about 385.1550508331.

Adding to 57135600 its reverse (653175), we get a palindrome (57788775).

The spelling of 57135600 in words is "fifty-seven million, one hundred thirty-five thousand, six hundred".