57135300 has 108 divisors (see below), whose sum is σ = 175874160. Its totient is φ = 14318080.

The previous prime is 57135227. The next prime is 57135311. The reversal of 57135300 is 353175.

57135300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 86371 + ... + 87029.

Almost surely, 2^57135300 is an apocalyptic number.

57135300 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 57135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87937080).

57135300 is an abundant number, since it is smaller than the sum of its proper divisors (118738860).

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

57135300 is a wasteful number, since it uses less digits than its factorization.

57135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 57135300 is about 7558.7895856413. The cubic root of 57135300 is about 385.1543767249.

Adding to 57135300 its reverse (353175), we get a palindrome (57488475).

The spelling of 57135300 in words is "fifty-seven million, one hundred thirty-five thousand, three hundred".