153127636656 has 80 divisors (see below), whose sum is σ = 401306171904. Its totient is φ = 50308502272.

The previous prime is 153127636639. The next prime is 153127636679. The reversal of 153127636656 is 656636721351.

153127636656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 153127636599 and 153127636608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936121 + ... + 1087463.

Almost surely, 2^153127636656 is an apocalyptic number.

153127636656 is a gapful number since it is divisible by the number (16) 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 153127636656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200653085952).

153127636656 is an abundant number, since it is smaller than the sum of its proper divisors (248178535248).

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

153127636656 is a wasteful number, since it uses less digits than its factorization.

153127636656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151658 (or 151652 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The spelling of 153127636656 in words is "one hundred fifty-three billion, one hundred twenty-seven million, six hundred thirty-six thousand, six hundred fifty-six".