13434144 has 24 divisors (see below), whose sum is σ = 35264880. Its totient is φ = 4478016.

The previous prime is 13434137. The next prime is 13434149. The reversal of 13434144 is 44143431.

13434144 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 (24).

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

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 (13434149) 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, 69874 + ... + 70065.

It is an arithmetic number, because the mean of its divisors is an integer number (1469370).

Almost surely, 2^13434144 is an apocalyptic number.

It is an amenable number.

13434144 is an abundant number, since it is smaller than the sum of its proper divisors (21830736).

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

13434144 is a wasteful number, since it uses less digits than its factorization.

13434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139952 (or 139944 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 13434144 is about 3665.2617914687. The cubic root of 13434144 is about 237.7223417379.

Adding to 13434144 its reverse (44143431), we get a palindrome (57577575).

The spelling of 13434144 in words is "thirteen million, four hundred thirty-four thousand, one hundred forty-four".