13137920 has 48 divisors (see below), whose sum is σ = 31547880. Its totient is φ = 5251072.

The previous prime is 13137907. The next prime is 13137931. The reversal of 13137920 is 2973131.

It is a self number, because there is not a number n which added to its sum of digits gives 13137920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9599 + ... + 10881.

Almost surely, 2^13137920 is an apocalyptic number.

13137920 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 13137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773940).

13137920 is an abundant number, since it is smaller than the sum of its proper divisors (18409960).

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

13137920 is an equidigital number, since it uses as much as digits as its factorization.

13137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 13137920 is about 3624.6268773489. The cubic root of 13137920 is about 235.9620737675.

The spelling of 13137920 in words is "thirteen million, one hundred thirty-seven thousand, nine hundred twenty".