15144 has 16 divisors (see below), whose sum is σ = 37920. Its totient is φ = 5040.

The previous prime is 15139. The next prime is 15149. The reversal of 15144 is 44151.

15144 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 (15139) and next prime (15149).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15144.

It is not an unprimeable number, because it can be changed into a prime (15149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 292 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (2370).

2¹⁵¹⁴⁴ is an apocalyptic number.

It is an amenable number.

15144 is an abundant number, since it is smaller than the sum of its proper divisors (22776).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960).

15144 is a wasteful number, since it uses less digits than its factorization.

15144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 15144 is about 123.0609605033. The cubic root of 15144 is about 24.7407883279.

Subtracting from 15144 its sum of digits (15), we obtain a square (15129 = 123²).

Adding to 15144 its reverse (44151), we get a palindrome (59295).

The spelling of 15144 in words is "fifteen thousand, one hundred forty-four".