136841727836160 has 760 divisors, whose sum is σ = 491632371406440. Its totient is φ = 36414544674816.

The previous prime is 136841727836117. The next prime is 136841727836173. The reversal of 136841727836160 is 61638727148631.

136841727836160 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 4 + 1 + 7 + 2 + 7 + 8 + 3 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7192351604736 + 129649376231424 = 2681856^2 + 11386368^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65505852396 + ... + 65505854484.

It is an arithmetic number, because the mean of its divisors is an integer number (646884699219).

Almost surely, 2^{136841727836160} is an apocalyptic number.

136841727836160 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 136841727836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245816185703220).

136841727836160 is an abundant number, since it is smaller than the sum of its proper divisors (354790643570280).

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

136841727836160 is an frugal number, since it uses more digits than its factorization.

136841727836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 136841727836160 in words is "one hundred thirty-six trillion, eight hundred forty-one billion, seven hundred twenty-seven million, eight hundred thirty-six thousand, one hundred sixty".