54157200 has 60 divisors (see below), whose sum is σ = 173487408. Its totient is φ = 14441600.

The previous prime is 54157199. The next prime is 54157211. The reversal of 54157200 is 275145.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21366 + ... + 23765.

Almost surely, 2^54157200 is an apocalyptic number.

54157200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54157200 is an abundant number, since it is smaller than the sum of its proper divisors (119330208).

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

54157200 is a wasteful number, since it uses less digits than its factorization.

54157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45152 (or 45141 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 54157200 is about 7359.1575604820. The cubic root of 54157200 is about 378.3427366502.

The spelling of 54157200 in words is "fifty-four million, one hundred fifty-seven thousand, two hundred".