54144 has 48 divisors (see below), whose sum is σ = 159120. Its totient is φ = 17664.

The previous prime is 54139. The next prime is 54151. The reversal of 54144 is 44145.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

54144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1129 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (3315).

2⁵⁴¹⁴⁴ 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 54144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560).

54144 is an abundant number, since it is smaller than the sum of its proper divisors (104976).

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

54144 is a wasteful number, since it uses less digits than its factorization.

54144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 52 counting only the distinct ones).

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

The square root of 54144 is about 232.6886331560. The cubic root of 54144 is about 37.8311995709.

Subtracting from 54144 its product of digits (320), we obtain a square (53824 = 232²).

Adding to 54144 its reverse (44145), we get a palindrome (98289).

Subtracting from 54144 its reverse (44145), we obtain a palindrome (9999).

It can be divided in two parts, 541 and 44, that added together give a palindrome (585).

The spelling of 54144 in words is "fifty-four thousand, one hundred forty-four".