15013152 has 144 divisors (see below), whose sum is σ = 53307072. Its totient is φ = 3893760.

The previous prime is 15013139. The next prime is 15013153. The reversal of 15013152 is 25131051.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (15013153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21838 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (370188).

Almost surely, 2^15013152 is an apocalyptic number.

15013152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26653536).

15013152 is an abundant number, since it is smaller than the sum of its proper divisors (38293920).

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

15013152 is a wasteful number, since it uses less digits than its factorization.

15013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 15013152 is about 3874.6808900863. The cubic root of 15013152 is about 246.6932655352.

The spelling of 15013152 in words is "fifteen million, thirteen thousand, one hundred fifty-two".