57148700 has 108 divisors (see below), whose sum is σ = 146943720. Its totient is φ = 19232640.

The previous prime is 57148691. The next prime is 57148703. The reversal of 57148700 is 784175.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57148703) 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, 524246 + ... + 524354.

It is an arithmetic number, because the mean of its divisors is an integer number (1360590).

Almost surely, 2^57148700 is an apocalyptic number.

57148700 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 57148700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).

57148700 is an abundant number, since it is smaller than the sum of its proper divisors (89795020).

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

57148700 is a wasteful number, since it uses less digits than its factorization.

57148700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 57148700 is about 7559.6759189796. The cubic root of 57148700 is about 385.1844845872.

The spelling of 57148700 in words is "fifty-seven million, one hundred forty-eight thousand, seven hundred".