136438604236800 has 2016 divisors, whose sum is σ = 517884903244800. Its totient is φ = 35626850058240.

The previous prime is 136438604236691. The next prime is 136438604236841. The reversal of 136438604236800 is 8632406834631.

136438604236800 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 3 + 8 + 604 + 23 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×136438604236800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 507206707066 + ... + 507206707334.

It is an arithmetic number, because the mean of its divisors is an integer number (256887352800).

Almost surely, 2^{136438604236800} is an apocalyptic number.

136438604236800 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 136438604236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258942451622400).

136438604236800 is an abundant number, since it is smaller than the sum of its proper divisors (381446299008000).

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

136438604236800 is a wasteful number, since it uses less digits than its factorization.

136438604236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 136438604236800 in words is "one hundred thirty-six trillion, four hundred thirty-eight billion, six hundred four million, two hundred thirty-six thousand, eight hundred".