136337113968 has 480 divisors, whose sum is σ = 416928314880. Its totient is φ = 38284646400.

The previous prime is 136337113949. The next prime is 136337114021. The reversal of 136337113968 is 869311733631.

It is a self number, because there is not a number n which added to its sum of digits gives 136337113968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816389821 + ... + 816389987.

It is an arithmetic number, because the mean of its divisors is an integer number (868600656).

Almost surely, 2^136337113968 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 136337113968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208464157440).

136337113968 is an abundant number, since it is smaller than the sum of its proper divisors (280591200912).

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

136337113968 is a wasteful number, since it uses less digits than its factorization.

136337113968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The spelling of 136337113968 in words is "one hundred thirty-six billion, three hundred thirty-seven million, one hundred thirteen thousand, nine hundred sixty-eight".