136877368320 has 1584 divisors, whose sum is σ = 625698138240. Its totient is φ = 28271738880.

The previous prime is 136877368307. The next prime is 136877368343. The reversal of 136877368320 is 23863778631.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 819624877 + ... + 819625043.

Almost surely, 2^136877368320 is an apocalyptic number.

136877368320 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 136877368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312849069120).

136877368320 is an abundant number, since it is smaller than the sum of its proper divisors (488820769920).

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

136877368320 is a wasteful number, since it uses less digits than its factorization.

136877368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 136877368320 in words is "one hundred thirty-six billion, eight hundred seventy-seven million, three hundred sixty-eight thousand, three hundred twenty".