136431879168 has 176 divisors, whose sum is σ = 397465826240. Its totient is φ = 41351675904.

The previous prime is 136431879127. The next prime is 136431879277. The reversal of 136431879168 is 861978134631.

It is a happy number.

It is a super-2 number, since 2×136431879168² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650218 + ... + 2701206.

Almost surely, 2^136431879168 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 136431879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198732913120).

136431879168 is an abundant number, since it is smaller than the sum of its proper divisors (261033947072).

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

136431879168 is a wasteful number, since it uses less digits than its factorization.

136431879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51092 (or 51074 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 136431879168 in words is "one hundred thirty-six billion, four hundred thirty-one million, eight hundred seventy-nine thousand, one hundred sixty-eight".