15145600356 has 72 divisors (see below), whose sum is σ = 40560057720. Its totient is φ = 4748829696.

The previous prime is 15145600333. The next prime is 15145600357. The reversal of 15145600356 is 65300654151.

15145600356 is a `hidden beast` number, since 1 + 5 + 1 + 45 + 600 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10681222500 + 4464377856 = 103350^2 + 66816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 15145600356.

It is not an unprimeable number, because it can be changed into a prime (15145600357) 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, 1235650 + ... + 1247846.

It is an arithmetic number, because the mean of its divisors is an integer number (563334135).

Almost surely, 2^15145600356 is an apocalyptic number.

It is an amenable number.

15145600356 is an abundant number, since it is smaller than the sum of its proper divisors (25414457364).

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

15145600356 is a wasteful number, since it uses less digits than its factorization.

15145600356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14253 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 15145600356 in words is "fifteen billion, one hundred forty-five million, six hundred thousand, three hundred fifty-six".