13230144 has 84 divisors (see below), whose sum is σ = 38461696. Its totient is φ = 4347648.

The previous prime is 13230109. The next prime is 13230169. The reversal of 13230144 is 44103231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59217 + ... + 59439.

Almost surely, 2^13230144 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 13230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230848).

13230144 is an abundant number, since it is smaller than the sum of its proper divisors (25231552).

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

13230144 is a wasteful number, since it uses less digits than its factorization.

13230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

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

The square root of 13230144 is about 3637.3264907072. The cubic root of 13230144 is about 236.5129129837.

Adding to 13230144 its reverse (44103231), we get a palindrome (57333375).

It can be divided in two parts, 132 and 30144, that added together give a square (30276 = 174²).

The spelling of 13230144 in words is "thirteen million, two hundred thirty thousand, one hundred forty-four".