136749000960 has 1728 divisors, whose sum is σ = 621937854720. Its totient is φ = 27179089920.

The previous prime is 136749000919. The next prime is 136749000991. The reversal of 136749000960 is 69000947631.

136749000960 is a `hidden beast` number, since 13 + 67 + 490 + 0 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 532097152 + ... + 532097408.

It is an arithmetic number, because the mean of its divisors is an integer number (359917740).

Almost surely, 2^136749000960 is an apocalyptic number.

136749000960 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 136749000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310968927360).

136749000960 is an abundant number, since it is smaller than the sum of its proper divisors (485188853760).

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

136749000960 is a wasteful number, since it uses less digits than its factorization.

136749000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 136749000960 in words is "one hundred thirty-six billion, seven hundred forty-nine million, nine hundred sixty", and thus it is an aban number.