57144000 has 112 divisors (see below), whose sum is σ = 188768736. Its totient is φ = 15232000.

The previous prime is 57143981. The next prime is 57144011. The reversal of 57144000 is 44175.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22810 + ... + 25190.

Almost surely, 2^57144000 is an apocalyptic number.

57144000 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 57144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94384368).

57144000 is an abundant number, since it is smaller than the sum of its proper divisors (131624736).

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

57144000 is a wasteful number, since it uses less digits than its factorization.

57144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 57144000 is about 7559.3650527012. The cubic root of 57144000 is about 385.1739249028.

Adding to 57144000 its reverse (44175), we get a palindrome (57188175).

The spelling of 57144000 in words is "fifty-seven million, one hundred forty-four thousand".