136865113007616 has 1440 divisors, whose sum is σ = 494522631963360. Its totient is φ = 36202788421632.

The previous prime is 136865113007537. The next prime is 136865113007683. The reversal of 136865113007616 is 616700311568631.

136865113007616 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 6 + 5 + 1 + 13 + 0 + 0 + 7 + 616 = 666.

136865113007616 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85701384930 + ... + 85701386526.

It is an arithmetic number, because the mean of its divisors is an integer number (343418494419).

Almost surely, 2^{136865113007616} is an apocalyptic number.

136865113007616 is a gapful number since it is divisible by the number (16) 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 136865113007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247261315981680).

136865113007616 is an abundant number, since it is smaller than the sum of its proper divisors (357657518955744).

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

136865113007616 is a wasteful number, since it uses less digits than its factorization.

136865113007616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 136865113007616 in words is "one hundred thirty-six trillion, eight hundred sixty-five billion, one hundred thirteen million, seven thousand, six hundred sixteen".