136900724400 has 600 divisors, whose sum is σ = 553326394368. Its totient is φ = 32114880000.

The previous prime is 136900724383. The next prime is 136900724459. The reversal of 136900724400 is 4427009631.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11042205 + ... + 11054595.

Almost surely, 2^136900724400 is an apocalyptic number.

136900724400 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 136900724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276663197184).

136900724400 is an abundant number, since it is smaller than the sum of its proper divisors (416425669968).

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

136900724400 is a wasteful number, since it uses less digits than its factorization.

136900724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12463 (or 12443 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 136900724400 in words is "one hundred thirty-six billion, nine hundred million, seven hundred twenty-four thousand, four hundred".