13137960 has 128 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 3087360.

The previous prime is 13137947. The next prime is 13137961. The reversal of 13137960 is 6973131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137961) 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, 48706 + ... + 48974.

It is an arithmetic number, because the mean of its divisors is an integer number (346275).

Almost surely, 2^13137960 is an apocalyptic number.

13137960 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 13137960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161600).

13137960 is an abundant number, since it is smaller than the sum of its proper divisors (31185240).

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

13137960 is a wasteful number, since it uses less digits than its factorization.

13137960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 13137960 is about 3624.6323951540. The cubic root of 13137960 is about 235.9623132391.

The spelling of 13137960 in words is "thirteen million, one hundred thirty-seven thousand, nine hundred sixty".