13148080 has 80 divisors (see below), whose sum is σ = 33997824. Its totient is φ = 4688640.

The previous prime is 13148063. The next prime is 13148117. The reversal of 13148080 is 8084131.

13148080 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58849 + ... + 59071.

Almost surely, 2^13148080 is an apocalyptic number.

13148080 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 13148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912).

13148080 is an abundant number, since it is smaller than the sum of its proper divisors (20849744).

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

13148080 is a wasteful number, since it uses less digits than its factorization.

13148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 13148080 is about 3626.0281300619. The cubic root of 13148080 is about 236.0228839248.

The spelling of 13148080 in words is "thirteen million, one hundred forty-eight thousand, eighty".