54144000 has 264 divisors, whose sum is σ = 199263168. Its totient is φ = 14131200.

The previous prime is 54143981. The next prime is 54144007. The reversal of 54144000 is 44145.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (54144007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151977 + ... + 1152023.

Almost surely, 2^54144000 is an apocalyptic number.

54144000 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 54144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99631584).

54144000 is an abundant number, since it is smaller than the sum of its proper divisors (145119168).

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

54144000 is a wasteful number, since it uses less digits than its factorization.

54144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54144000 is about 7358.2606640428. The cubic root of 54144000 is about 378.3119957088.

Adding to 54144000 its reverse (44145), we get a palindrome (54188145).

The spelling of 54144000 in words is "fifty-four million, one hundred forty-four thousand".