15256938144 has 96 divisors (see below), whose sum is σ = 46105186176. Its totient is φ = 4327280640.

The previous prime is 15256938143. The next prime is 15256938161. The reversal of 15256938144 is 44183965251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 15256938093 and 15256938102.

It is not an unprimeable number, because it can be changed into a prime (15256938143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9204 + ... + 174924.

It is an arithmetic number, because the mean of its divisors is an integer number (480262356).

Almost surely, 2^15256938144 is an apocalyptic number.

15256938144 is a gapful number since it is divisible by the number (14) 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 15256938144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23052593088).

15256938144 is an abundant number, since it is smaller than the sum of its proper divisors (30848248032).

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

15256938144 is a wasteful number, since it uses less digits than its factorization.

15256938144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165878 (or 165870 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 15256938144 in words is "fifteen billion, two hundred fifty-six million, nine hundred thirty-eight thousand, one hundred forty-four".