136633315104 has 384 divisors, whose sum is σ = 474628896000. Its totient is φ = 37693071360.

The previous prime is 136633315073. The next prime is 136633315141. The reversal of 136633315104 is 401513336631.

136633315104 is a `hidden beast` number, since 1 + 3 + 6 + 633 + 3 + 1 + 5 + 10 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 9011722 + ... + 9026870.

It is an arithmetic number, because the mean of its divisors is an integer number (1236012750).

Almost surely, 2^136633315104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136633315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237314448000).

136633315104 is an abundant number, since it is smaller than the sum of its proper divisors (337995580896).

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

136633315104 is a wasteful number, since it uses less digits than its factorization.

136633315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15265 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 136633315104 in words is "one hundred thirty-six billion, six hundred thirty-three million, three hundred fifteen thousand, one hundred four".