136014833345328 has 480 divisors, whose sum is σ = 442373555486720. Its totient is φ = 38211747356160.

The previous prime is 136014833345327. The next prime is 136014833345449. The reversal of 136014833345328 is 823543338410631.

136014833345328 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 1 + 48 + 33 + 34 + 532 + 8 = 666.

136014833345328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (136014833345327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9617106225 + ... + 9617120367.

Almost surely, 2^{136014833345328} is an apocalyptic number.

136014833345328 is a gapful number since it is divisible by the number (18) 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 136014833345328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221186777743360).

136014833345328 is an abundant number, since it is smaller than the sum of its proper divisors (306358722141392).

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

136014833345328 is a wasteful number, since it uses less digits than its factorization.

136014833345328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14917 (or 14908 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 136014833345328 in words is "one hundred thirty-six trillion, fourteen billion, eight hundred thirty-three million, three hundred forty-five thousand, three hundred twenty-eight".