13137139440 has 160 divisors (see below), whose sum is σ = 45486047040. Its totient is φ = 3484975104.

The previous prime is 13137139427. The next prime is 13137139441. The reversal of 13137139440 is 4493173131.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13137139395 and 13137139404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137139441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401124 + ... + 432636.

It is an arithmetic number, because the mean of its divisors is an integer number (284287794).

Almost surely, 2^13137139440 is an apocalyptic number.

13137139440 is a gapful number since it is divisible by the number (10) 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 13137139440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22743023520).

13137139440 is an abundant number, since it is smaller than the sum of its proper divisors (32348907600).

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

13137139440 is a wasteful number, since it uses less digits than its factorization.

13137139440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31728 (or 31716 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13137139440 in words is "thirteen billion, one hundred thirty-seven million, one hundred thirty-nine thousand, four hundred forty".