15120144 has 120 divisors (see below), whose sum is σ = 46918872. Its totient is φ = 4515840.

The previous prime is 15120139. The next prime is 15120167. The reversal of 15120144 is 44102151.

15120144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 14288400 = 912^2 + 3780^2 .

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, 76654 + ... + 76850.

Almost surely, 2^15120144 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 15120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459436).

15120144 is an abundant number, since it is smaller than the sum of its proper divisors (31798728).

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

15120144 is a wasteful number, since it uses less digits than its factorization.

15120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 15120144 is about 3888.4629354026. The cubic root of 15120144 is about 247.2779029927.

Adding to 15120144 its reverse (44102151), we get a palindrome (59222295).

The spelling of 15120144 in words is "fifteen million, one hundred twenty thousand, one hundred forty-four".