54134400 has 96 divisors (see below), whose sum is σ = 178336800. Its totient is φ = 14433280.

The previous prime is 54134383. The next prime is 54134411. The reversal of 54134400 is 443145.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6781 + ... + 12419.

It is an arithmetic number, because the mean of its divisors is an integer number (1857675).

Almost surely, 2^54134400 is an apocalyptic number.

54134400 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 54134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89168400).

54134400 is an abundant number, since it is smaller than the sum of its proper divisors (124202400).

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

54134400 is a wasteful number, since it uses less digits than its factorization.

54134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54134400 is about 7357.6083070520. The cubic root of 54134400 is about 378.2896355222.

Adding to 54134400 its reverse (443145), we get a palindrome (54577545).

The spelling of 54134400 in words is "fifty-four million, one hundred thirty-four thousand, four hundred".