15000144 has 80 divisors (see below), whose sum is σ = 40592640. Its totient is φ = 4769280.

The previous prime is 15000131. The next prime is 15000151. The reversal of 15000144 is 44100051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137562 + ... + 137670.

It is an arithmetic number, because the mean of its divisors is an integer number (507408).

Almost surely, 2^15000144 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 15000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296320).

15000144 is an abundant number, since it is smaller than the sum of its proper divisors (25592496).

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

15000144 is a wasteful number, since it uses less digits than its factorization.

15000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

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

The square root of 15000144 is about 3873.0019364829. The cubic root of 15000144 is about 246.6219966184.

Subtracting from 15000144 its sum of digits (15), we obtain a square (15000129 = 3873²).

Adding to 15000144 its reverse (44100051), we get a palindrome (59100195).

The spelling of 15000144 in words is "fifteen million, one hundred forty-four", and thus it is an aban number.