136079424000 has 960 divisors, whose sum is σ = 559407008160. Its totient is φ = 31496601600.

The previous prime is 136079423951. The next prime is 136079424011. The reversal of 136079424000 is 424970631.

136079424000 is a `hidden beast` number, since 1 + 3 + 607 + 9 + 4 + 2 + 40 + 0 + 0 = 666.

136079424000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 10150965504 + 125928458496 = 100752^2 + 354864^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 127295466 + ... + 127296534.

Almost surely, 2^136079424000 is an apocalyptic number.

136079424000 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 136079424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279703504080).

136079424000 is an abundant number, since it is smaller than the sum of its proper divisors (423327584160).

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

136079424000 is a wasteful number, since it uses less digits than its factorization.

136079424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 136079424000 in words is "one hundred thirty-six billion, seventy-nine million, four hundred twenty-four thousand".