13302144 has 80 divisors (see below), whose sum is σ = 39617820. Its totient is φ = 4430592.

The previous prime is 13302137. The next prime is 13302151. The reversal of 13302144 is 44120331.

It is an interprime number because it is at equal distance from previous prime (13302137) and next prime (13302151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9727 + ... + 11009.

Almost surely, 2^13302144 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 13302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19808910).

13302144 is an abundant number, since it is smaller than the sum of its proper divisors (26315676).

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

13302144 is an equidigital number, since it uses as much as digits as its factorization.

13302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13302144 is about 3647.2104408712. The cubic root of 13302144 is about 236.9411807245.

Adding to 13302144 its reverse (44120331), we get a palindrome (57422475).

The spelling of 13302144 in words is "thirteen million, three hundred two thousand, one hundred forty-four".