54157600 has 144 divisors (see below), whose sum is σ = 159364800. Its totient is φ = 17556480.

The previous prime is 54157591. The next prime is 54157633. The reversal of 54157600 is 675145.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106146 + ... + 106654.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^54157600 is an apocalyptic number.

54157600 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 54157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

54157600 is an abundant number, since it is smaller than the sum of its proper divisors (105207200).

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

54157600 is a wasteful number, since it uses less digits than its factorization.

54157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 54157600 is about 7359.1847374556. The cubic root of 54157600 is about 378.3436681158.

The spelling of 54157600 in words is "fifty-four million, one hundred fifty-seven thousand, six hundred".