153034831656 has 256 divisors, whose sum is σ = 522279936000. Its totient is φ = 40541264640.

The previous prime is 153034831627. The next prime is 153034831673. The reversal of 153034831656 is 656138430351.

153034831656 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 3 + 483 + 165 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293546 + ... + 1406886.

It is an arithmetic number, because the mean of its divisors is an integer number (2040156000).

Almost surely, 2^153034831656 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 153034831656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261139968000).

153034831656 is an abundant number, since it is smaller than the sum of its proper divisors (369245104344).

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

153034831656 is a wasteful number, since it uses less digits than its factorization.

153034831656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113429 (or 113419 counting only the distinct ones).

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

The spelling of 153034831656 in words is "one hundred fifty-three billion, thirty-four million, eight hundred thirty-one thousand, six hundred fifty-six".