153364700160 has 660 divisors, whose sum is σ = 639383184792. Its totient is φ = 35050143744.

The previous prime is 153364700149. The next prime is 153364700221. The reversal of 153364700160 is 61007463351.

153364700160 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 647 + 0 + 0 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20317507 + ... + 20325053.

Almost surely, 2^153364700160 is an apocalyptic number.

153364700160 is a gapful number since it is divisible by the number (10) 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 153364700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319691592396).

153364700160 is an abundant number, since it is smaller than the sum of its proper divisors (486018484632).

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

153364700160 is an equidigital number, since it uses as much as digits as its factorization.

153364700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7598 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 153364700160 in words is "one hundred fifty-three billion, three hundred sixty-four million, seven hundred thousand, one hundred sixty".