54132400 has 60 divisors (see below), whose sum is σ = 148639792. Its totient is φ = 18558720.

The previous prime is 54132383. The next prime is 54132413. The reversal of 54132400 is 423145.

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, 6867 + ... + 12466.

Almost surely, 2^54132400 is an apocalyptic number.

54132400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54132400 is an abundant number, since it is smaller than the sum of its proper divisors (94507392).

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

54132400 is a wasteful number, since it uses less digits than its factorization.

54132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19358 (or 19347 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 54132400 is about 7357.4723920651. The cubic root of 54132400 is about 378.2849768173.

Adding to 54132400 its reverse (423145), we get a palindrome (54555545).

The spelling of 54132400 in words is "fifty-four million, one hundred thirty-two thousand, four hundred".