13035138144 has 96 divisors (see below), whose sum is σ = 41405769216. Its totient is φ = 3505244160.

The previous prime is 13035138091. The next prime is 13035138187. The reversal of 13035138144 is 44183153031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559092 + ... + 581939.

It is an arithmetic number, because the mean of its divisors is an integer number (431310096).

Almost surely, 2^13035138144 is an apocalyptic number.

13035138144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13035138144 is an abundant number, since it is smaller than the sum of its proper divisors (28370631072).

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

13035138144 is a wasteful number, since it uses less digits than its factorization.

13035138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141068 (or 1141060 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 13035138144 in words is "thirteen billion, thirty-five million, one hundred thirty-eight thousand, one hundred forty-four".