136997513406 has 360 divisors, whose sum is σ = 354622447872. Its totient is φ = 39484972800.

The previous prime is 136997513357. The next prime is 136997513413. The reversal of 136997513406 is 604315799631.

136997513406 is a `hidden beast` number, since 1 + 36 + 9 + 97 + 513 + 4 + 0 + 6 = 666.

136997513406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 179 ways as a sum of consecutive naturals, for example, 1078720515 + ... + 1078720641.

Almost surely, 2^136997513406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136997513406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177311223936).

136997513406 is an abundant number, since it is smaller than the sum of its proper divisors (217624934466).

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

136997513406 is a wasteful number, since it uses less digits than its factorization.

136997513406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 136997513406 in words is "one hundred thirty-six billion, nine hundred ninety-seven million, five hundred thirteen thousand, four hundred six".