13144320 has 216 divisors, whose sum is σ = 52293696. Its totient is φ = 2985984.

The previous prime is 13144319. The next prime is 13144331. The reversal of 13144320 is 2344131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13144293 and 13144302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80559 + ... + 80721.

Almost surely, 2^13144320 is an apocalyptic number.

13144320 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 13144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26146848).

13144320 is an abundant number, since it is smaller than the sum of its proper divisors (39149376).

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

13144320 is a wasteful number, since it uses less digits than its factorization.

13144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

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

The square root of 13144320 is about 3625.5096193501. The cubic root of 13144320 is about 236.0003830311. Note that the first 3 decimals are identical.

Adding to 13144320 its reverse (2344131), we get a palindrome (15488451).

The spelling of 13144320 in words is "thirteen million, one hundred forty-four thousand, three hundred twenty".