13830144 has 48 divisors (see below), whose sum is σ = 36887760. Its totient is φ = 4608000.

The previous prime is 13830127. The next prime is 13830149. The reversal of 13830144 is 44103831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13830149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5019 + ... + 7269.

It is an arithmetic number, because the mean of its divisors is an integer number (768495).

Almost surely, 2^13830144 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 13830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18443880).

13830144 is an abundant number, since it is smaller than the sum of its proper divisors (23057616).

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

13830144 is an equidigital number, since it uses as much as digits as its factorization.

13830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13830144 is about 3718.8901570227. The cubic root of 13830144 is about 240.0355502894.

Adding to 13830144 its reverse (44103831), we get a palindrome (57933975).

The spelling of 13830144 in words is "thirteen million, eight hundred thirty thousand, one hundred forty-four".