136165579355520 has 1024 divisors, whose sum is σ = 571578079564800. Its totient is φ = 30200905728000.

The previous prime is 136165579355471. The next prime is 136165579355521. The reversal of 136165579355520 is 25553975561631.

136165579355520 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 6 + 5 + 5 + 79 + 3 + 5 + 552 + 0 = 666.

136165579355520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136165579355521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 278983695 + ... + 279471345.

It is an arithmetic number, because the mean of its divisors is an integer number (558181718325).

Almost surely, 2^{136165579355520} is an apocalyptic number.

136165579355520 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 136165579355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285789039782400).

136165579355520 is an abundant number, since it is smaller than the sum of its proper divisors (435412500209280).

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

136165579355520 is a wasteful number, since it uses less digits than its factorization.

136165579355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487816 (or 487798 counting only the distinct ones).

The product of its (nonzero) digits is 127575000, while the sum is 63.

The spelling of 136165579355520 in words is "one hundred thirty-six trillion, one hundred sixty-five billion, five hundred seventy-nine million, three hundred fifty-five thousand, five hundred twenty".