136119700005120 has 1440 divisors, whose sum is σ = 532726398758400. Its totient is φ = 32985185845248.

The previous prime is 136119700005119. The next prime is 136119700005137. The reversal of 136119700005120 is 21500007911631.

It is a happy number.

136119700005120 is a `hidden beast` number, since 1 + 3 + 61 + 19 + 70 + 0 + 0 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40355675754 + ... + 40355679126.

Almost surely, 2^{136119700005120} is an apocalyptic number.

136119700005120 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 136119700005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266363199379200).

136119700005120 is an abundant number, since it is smaller than the sum of its proper divisors (396606698753280).

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

136119700005120 is a wasteful number, since it uses less digits than its factorization.

136119700005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Adding to 136119700005120 its reverse (21500007911631), we get a palindrome (157619707916751).

The spelling of 136119700005120 in words is "one hundred thirty-six trillion, one hundred nineteen billion, seven hundred million, five thousand, one hundred twenty".