13248144 has 160 divisors (see below), whose sum is σ = 46941440. Its totient is φ = 3483648.

The previous prime is 13248139. The next prime is 13248181. The reversal of 13248144 is 44184231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39144 + ... + 39480.

It is an arithmetic number, because the mean of its divisors is an integer number (293384).

Almost surely, 2^13248144 is an apocalyptic number.

13248144 is a gapful number since it is divisible by the number (14) 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 13248144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470720).

13248144 is an abundant number, since it is smaller than the sum of its proper divisors (33693296).

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

13248144 is a wasteful number, since it uses less digits than its factorization.

13248144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 13248144 is about 3639.7999945052. The cubic root of 13248144 is about 236.6201253011.

The spelling of 13248144 in words is "thirteen million, two hundred forty-eight thousand, one hundred forty-four".