13148864 has 28 divisors (see below), whose sum is σ = 26734008. Its totient is φ = 6412800.

The previous prime is 13148857. The next prime is 13148869. The reversal of 13148864 is 46884131.

It is not an unprimeable number, because it can be changed into a prime (13148869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (954786).

Almost surely, 2^13148864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367004).

13148864 is an abundant number, since it is smaller than the sum of its proper divisors (13585144).

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

13148864 is an equidigital number, since it uses as much as digits as its factorization.

13148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5054 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 13148864 is about 3626.1362357198. The cubic root of 13148864 is about 236.0275750600.

It can be divided in two parts, 13 and 148864, that added together give a cube (148877 = 53³).

The spelling of 13148864 in words is "thirteen million, one hundred forty-eight thousand, eight hundred sixty-four".