13237120 has 128 divisors (see below), whose sum is σ = 35814240. Its totient is φ = 4644864.

The previous prime is 13237117. The next prime is 13237151. The reversal of 13237120 is 2173231.

13237120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 307819 + ... + 307861.

Almost surely, 2^13237120 is an apocalyptic number.

13237120 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 13237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907120).

13237120 is an abundant number, since it is smaller than the sum of its proper divisors (22577120).

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

13237120 is a wasteful number, since it uses less digits than its factorization.

13237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 13237120 is about 3638.2853104175. The cubic root of 13237120 is about 236.5544752467.

The spelling of 13237120 in words is "thirteen million, two hundred thirty-seven thousand, one hundred twenty".