14832144 has 30 divisors (see below), whose sum is σ = 41509806. Its totient is φ = 4944000.

The previous prime is 14832127. The next prime is 14832149. The reversal of 14832144 is 44123841.

It can be written as a sum of positive squares in only one way, i.e., 9072144 + 5760000 = 3012^2 + 2400^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14832149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51357 + ... + 51644.

Almost surely, 2^14832144 is an apocalyptic number.

It is an amenable number.

14832144 is an abundant number, since it is smaller than the sum of its proper divisors (26677662).

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

14832144 is a wasteful number, since it uses less digits than its factorization.

14832144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103015 (or 103006 counting only the distinct ones).

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

The square root of 14832144 is about 3851.2522638747. The cubic root of 14832144 is about 245.6978244915.

Adding to 14832144 its reverse (44123841), we get a palindrome (58955985).

The spelling of 14832144 in words is "fourteen million, eight hundred thirty-two thousand, one hundred forty-four".