13815120 has 80 divisors (see below), whose sum is σ = 46729152. Its totient is φ = 3348480.

The previous prime is 13815079. The next prime is 13815149. The reversal of 13815120 is 2151831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13815120² = 381715081228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24 + ... + 5256.

Almost surely, 2^13815120 is an apocalyptic number.

13815120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23364576).

13815120 is an abundant number, since it is smaller than the sum of its proper divisors (32914032).

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

13815120 is a wasteful number, since it uses less digits than its factorization.

13815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 13815120 is about 3716.8696506604. The cubic root of 13815120 is about 239.9486001038.

Adding to 13815120 its reverse (2151831), we get a palindrome (15966951).

The spelling of 13815120 in words is "thirteen million, eight hundred fifteen thousand, one hundred twenty".