136272270400 has 336 divisors, whose sum is σ = 389751661440. Its totient is φ = 45932544000.

The previous prime is 136272270377. The next prime is 136272270413. The reversal of 136272270400 is 4072272631.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202484464 + ... + 202485136.

Almost surely, 2^136272270400 is an apocalyptic number.

136272270400 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 136272270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194875830720).

136272270400 is an abundant number, since it is smaller than the sum of its proper divisors (253479391040).

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

136272270400 is a wasteful number, since it uses less digits than its factorization.

136272270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 136272270400 in words is "one hundred thirty-six billion, two hundred seventy-two million, two hundred seventy thousand, four hundred".