54000144 has 120 divisors (see below), whose sum is σ = 167480352. Its totient is φ = 16104960.

The previous prime is 54000139. The next prime is 54000151. The reversal of 54000144 is 44100045.

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

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, 115399 + ... + 115865.

Almost surely, 2^54000144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83740176).

54000144 is an abundant number, since it is smaller than the sum of its proper divisors (113480208).

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

54000144 is a wasteful number, since it uses less digits than its factorization.

54000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

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

The square root of 54000144 is about 7348.4790263020. The cubic root of 54000144 is about 377.9766509471.

Adding to 54000144 its reverse (44100045), we get a palindrome (98100189).

Subtracting from 54000144 its reverse (44100045), we obtain a palindrome (9900099).

It can be divided in two parts, 540001 and 44, that added together give a palindrome (540045).

The spelling of 54000144 in words is "fifty-four million, one hundred forty-four", and thus it is an aban number.