136821606300 has 144 divisors (see below), whose sum is σ = 441246445920. Its totient is φ = 36370437120.

The previous prime is 136821606281. The next prime is 136821606323. The reversal of 136821606300 is 3606128631.

136821606300 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 2 + 16 + 0 + 630 + 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 47 ways as a sum of consecutive naturals, for example, 775972 + ... + 935828.

It is an arithmetic number, because the mean of its divisors is an integer number (3064211430).

Almost surely, 2^136821606300 is an apocalyptic number.

136821606300 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 136821606300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220623222960).

136821606300 is an abundant number, since it is smaller than the sum of its proper divisors (304424839620).

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

136821606300 is a wasteful number, since it uses less digits than its factorization.

136821606300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160197 (or 160184 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 136821606300 in words is "one hundred thirty-six billion, eight hundred twenty-one million, six hundred six thousand, three hundred".