13127140608 has 144 divisors (see below), whose sum is σ = 36648756480. Its totient is φ = 4166443008.

The previous prime is 13127140591. The next prime is 13127140613. The reversal of 13127140608 is 80604172131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330638 + ... + 1340466.

Almost surely, 2^13127140608 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 13127140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324378240).

13127140608 is an abundant number, since it is smaller than the sum of its proper divisors (23521615872).

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

13127140608 is an equidigital number, since it uses as much as digits as its factorization.

13127140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

It can be divided in two parts, 13127 and 140608, that added together give a triangular number (153735 = T₅₅₄).

The spelling of 13127140608 in words is "thirteen billion, one hundred twenty-seven million, one hundred forty thousand, six hundred eight".