540144 has 90 divisors (see below), whose sum is σ = 1715168. Its totient is φ = 158400.

The previous prime is 540139. The next prime is 540149. The reversal of 540144 is 441045.

540144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540139) and next prime (540149).

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

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17409 + ... + 17439.

2⁵⁴⁰¹⁴⁴ 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 540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857584).

540144 is an abundant number, since it is smaller than the sum of its proper divisors (1175024).

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

540144 is a wasteful number, since it uses less digits than its factorization.

540144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

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

The square root of 540144 is about 734.9448958936. The cubic root of 540144 is about 81.4397663015.

Adding to 540144 its reverse (441045), we get a palindrome (981189).

Subtracting from 540144 its reverse (441045), we obtain a palindrome (99099).

It can be divided in two parts, 5401 and 44, that added together give a palindrome (5445).

The spelling of 540144 in words is "five hundred forty thousand, one hundred forty-four".