13508734127104 has 88 divisors (see below), whose sum is σ = 27949738163760. Its totient is φ = 6518124232704.

The previous prime is 13508734126999. The next prime is 13508734127153. The reversal of 13508734127104 is 40172143780531.

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 7 ways as a sum of consecutive naturals, for example, 58474927 + ... + 58705489.

Almost surely, 2^{13508734127104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13508734127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974869081880).

13508734127104 is an abundant number, since it is smaller than the sum of its proper divisors (14441004036656).

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

13508734127104 is a wasteful number, since it uses less digits than its factorization.

13508734127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232585 (or 232567 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 13508734127104 in words is "thirteen trillion, five hundred eight billion, seven hundred thirty-four million, one hundred twenty-seven thousand, one hundred four".