136517013258880 has 128 divisors (see below), whose sum is σ = 346245699098880. Its totient is φ = 51292462006272.

The previous prime is 136517013258817. The next prime is 136517013258883. The reversal of 136517013258880 is 88852310715631.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (136517013258883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7000044 + ... + 17945323.

It is an arithmetic number, because the mean of its divisors is an integer number (2705044524210).

Almost surely, 2^{136517013258880} is an apocalyptic number.

136517013258880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136517013258880 is an abundant number, since it is smaller than the sum of its proper divisors (209728685840000).

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

136517013258880 is a wasteful number, since it uses less digits than its factorization.

136517013258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24945906 (or 24945894 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 136517013258880 in words is "one hundred thirty-six trillion, five hundred seventeen billion, thirteen million, two hundred fifty-eight thousand, eight hundred eighty".