57137541344 has 96 divisors (see below), whose sum is σ = 127111892544. Its totient is φ = 25084477440.

The previous prime is 57137541337. The next prime is 57137541353. The reversal of 57137541344 is 44314573175.

It is a junction number, because it is equal to n+sod(n) for n = 57137541295 and 57137541304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715312 + ... + 1748304.

It is an arithmetic number, because the mean of its divisors is an integer number (1324082214).

Almost surely, 2^57137541344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57137541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63555946272).

57137541344 is an abundant number, since it is smaller than the sum of its proper divisors (69974351200).

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

57137541344 is a wasteful number, since it uses less digits than its factorization.

57137541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33220 (or 33212 counting only the distinct ones).

The product of its digits is 705600, while the sum is 44.

The spelling of 57137541344 in words is "fifty-seven billion, one hundred thirty-seven million, five hundred forty-one thousand, three hundred forty-four".