153631328256 has 144 divisors (see below), whose sum is σ = 507103833600. Its totient is φ = 43894628352.

The previous prime is 153631328237. The next prime is 153631328267. The reversal of 153631328256 is 652823136351.

153631328256 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 313 + 282 + 56 = 666.

153631328256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466336 + ... + 724383.

It is an arithmetic number, because the mean of its divisors is an integer number (3521554400).

Almost surely, 2^153631328256 is an apocalyptic number.

153631328256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153631328256 is an abundant number, since it is smaller than the sum of its proper divisors (353472505344).

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

153631328256 is a wasteful number, since it uses less digits than its factorization.

153631328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190754 (or 1190731 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 153631328256 in words is "one hundred fifty-three billion, six hundred thirty-one million, three hundred twenty-eight thousand, two hundred fifty-six".