136128233011680 has 2304 divisors, whose sum is σ = 636060534681600. Its totient is φ = 27209053605888.

The previous prime is 136128233011663. The next prime is 136128233011709. The reversal of 136128233011680 is 86110332821631.

It is a happy number.

136128233011680 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 282 + 3 + 301 + 1 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4235065689 + ... + 4235097831.

It is an arithmetic number, because the mean of its divisors is an integer number (276067940400).

Almost surely, 2^{136128233011680} is an apocalyptic number.

136128233011680 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 136128233011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318030267340800).

136128233011680 is an abundant number, since it is smaller than the sum of its proper divisors (499932301669920).

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

136128233011680 is a wasteful number, since it uses less digits than its factorization.

136128233011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32225 (or 32192 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 136128233011680 in words is "one hundred thirty-six trillion, one hundred twenty-eight billion, two hundred thirty-three million, eleven thousand, six hundred eighty".