136968809600 has 768 divisors, whose sum is σ = 431650944000. Its totient is φ = 41865707520.

The previous prime is 136968809569. The next prime is 136968809633. The reversal of 136968809600 is 6908869631.

136968809600 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 (56).

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, 872412722 + ... + 872412878.

It is an arithmetic number, because the mean of its divisors is an integer number (562045500).

Almost surely, 2^136968809600 is an apocalyptic number.

136968809600 is a gapful number since it is divisible by the number (10) 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 136968809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215825472000).

136968809600 is an abundant number, since it is smaller than the sum of its proper divisors (294682134400).

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

136968809600 is a wasteful number, since it uses less digits than its factorization.

136968809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 136968809600 in words is "one hundred thirty-six billion, nine hundred sixty-eight million, eight hundred nine thousand, six hundred".