13842144 has 96 divisors (see below), whose sum is σ = 41559840. Its totient is φ = 4478976.

The previous prime is 13842137. The next prime is 13842149. The reversal of 13842144 is 44124831.

13842144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13842149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31752 + ... + 32184.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 2^13842144 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 13842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

13842144 is an abundant number, since it is smaller than the sum of its proper divisors (27717696).

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

13842144 is a wasteful number, since it uses less digits than its factorization.

13842144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

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

The square root of 13842144 is about 3720.5031917739. The cubic root of 13842144 is about 240.1049540960.

Adding to 13842144 its reverse (44124831), we get a palindrome (57966975).

The spelling of 13842144 in words is "thirteen million, eight hundred forty-two thousand, one hundred forty-four".