136427523454320 has 640 divisors, whose sum is σ = 510418531123200. Its totient is φ = 29447294459904.

The previous prime is 136427523454319. The next prime is 136427523454373. The reversal of 136427523454320 is 23454325724631.

It is a super-2 number, since 2×136427523454320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 36101486191 + ... + 36101489969.

It is an arithmetic number, because the mean of its divisors is an integer number (797528954880).

Almost surely, 2^{136427523454320} is an apocalyptic number.

136427523454320 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 136427523454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255209265561600).

136427523454320 is an abundant number, since it is smaller than the sum of its proper divisors (373991007668880).

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

136427523454320 is a wasteful number, since it uses less digits than its factorization.

136427523454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 51.

The spelling of 136427523454320 in words is "one hundred thirty-six trillion, four hundred twenty-seven billion, five hundred twenty-three million, four hundred fifty-four thousand, three hundred twenty".