13137540 has 48 divisors (see below), whose sum is σ = 39617088. Its totient is φ = 3233664.

The previous prime is 13137529. The next prime is 13137541. The reversal of 13137540 is 4573131.

It is a self number, because there is not a number n which added to its sum of digits gives 13137540.

It is not an unprimeable number, because it can be changed into a prime (13137541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7642 + ... + 9201.

It is an arithmetic number, because the mean of its divisors is an integer number (825356).

Almost surely, 2^13137540 is an apocalyptic number.

13137540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13137540 is an abundant number, since it is smaller than the sum of its proper divisors (26479548).

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

13137540 is a wasteful number, since it uses less digits than its factorization.

13137540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16868 (or 16866 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13137540 is about 3624.5744577812. The cubic root of 13137540 is about 235.9597987638.

The spelling of 13137540 in words is "thirteen million, one hundred thirty-seven thousand, five hundred forty".