136333683072 has 144 divisors (see below), whose sum is σ = 416750197500. Its totient is φ = 42771247104.

The previous prime is 136333683053. The next prime is 136333683121. The reversal of 136333683072 is 270386333631.

136333683072 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 336 + 8 + 307 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128179 + ... + 537677.

Almost surely, 2^136333683072 is an apocalyptic number.

136333683072 is a gapful number since it is divisible by the number (12) 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 136333683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208375098750).

136333683072 is an abundant number, since it is smaller than the sum of its proper divisors (280416514428).

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

136333683072 is a wasteful number, since it uses less digits than its factorization.

136333683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409553 (or 409521 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 136333683072 in words is "one hundred thirty-six billion, three hundred thirty-three million, six hundred eighty-three thousand, seventy-two".