54240144 has 80 divisors (see below), whose sum is σ = 161715840. Its totient is φ = 15344640.

The previous prime is 54240143. The next prime is 54240161. The reversal of 54240144 is 44104245.

It is a happy number.

54240144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54240144² = 5883986442281472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54240143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35884 + ... + 37364.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448).

Almost surely, 2^54240144 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 54240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80857920).

54240144 is an abundant number, since it is smaller than the sum of its proper divisors (107475696).

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

54240144 is a wasteful number, since it uses less digits than its factorization.

54240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 54240144 is about 7364.7908320603. The cubic root of 54240144 is about 378.5357873310.

Adding to 54240144 its reverse (44104245), we get a palindrome (98344389).

The spelling of 54240144 in words is "fifty-four million, two hundred forty thousand, one hundred forty-four".