13815144 has 64 divisors (see below), whose sum is σ = 43862400. Its totient is φ = 3946752.

The previous prime is 13815079. The next prime is 13815149. The reversal of 13815144 is 44151831.

It is a happy number.

13815144 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is not an unprimeable number, because it can be changed into a prime (13815149) 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, 3057 + ... + 6080.

It is an arithmetic number, because the mean of its divisors is an integer number (685350).

Almost surely, 2^13815144 is an apocalyptic number.

13815144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13815144 is an abundant number, since it is smaller than the sum of its proper divisors (30047256).

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

13815144 is a wasteful number, since it uses less digits than its factorization.

13815144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9149 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 13815144 is about 3716.8728791822. The cubic root of 13815144 is about 239.9487390521.

Adding to 13815144 its reverse (44151831), we get a palindrome (57966975).

The spelling of 13815144 in words is "thirteen million, eight hundred fifteen thousand, one hundred forty-four".