14180144 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 5913600.

The previous prime is 14180129. The next prime is 14180161. The reversal of 14180144 is 44108141.

14180144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125432 + ... + 125544.

Almost surely, 2^14180144 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 14180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

14180144 is an abundant number, since it is smaller than the sum of its proper divisors (18389200).

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

14180144 is a wasteful number, since it uses less digits than its factorization.

14180144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 14180144 is about 3765.6531969899. The cubic root of 14180144 is about 242.0435684142.

Adding to 14180144 its reverse (44108141), we get a palindrome (58288285).

The spelling of 14180144 in words is "fourteen million, one hundred eighty thousand, one hundred forty-four".