13136880 has 80 divisors (see below), whose sum is σ = 41140224. Its totient is φ = 3467520.

The previous prime is 13136873. The next prime is 13136897. The reversal of 13136880 is 8863131.

13136880 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 (80).

It is a super-2 number, since 2×13136880² = 345155232268800, which contains 22 as substring.

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

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, 30265 + ... + 30695.

Almost surely, 2^13136880 is an apocalyptic number.

13136880 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 13136880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570112).

13136880 is an abundant number, since it is smaller than the sum of its proper divisors (28003344).

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

13136880 is a wasteful number, since it uses less digits than its factorization.

13136880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13136880 is about 3624.4834114671. The cubic root of 13136880 is about 235.9558473372.

The spelling of 13136880 in words is "thirteen million, one hundred thirty-six thousand, eight hundred eighty".