13845120 has 64 divisors (see below), whose sum is σ = 44137440. Its totient is φ = 3691520.

The previous prime is 13845061. The next prime is 13845121. The reversal of 13845120 is 2154831.

It is a tau number, because it is divible by the number of its divisors (64).

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 (13845121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686 + ... + 5525.

Almost surely, 2^13845120 is an apocalyptic number.

13845120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13845120 is an abundant number, since it is smaller than the sum of its proper divisors (30292320).

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

13845120 is an equidigital number, since it uses as much as digits as its factorization.

13845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13845120 is about 3720.9031161803. The cubic root of 13845120 is about 240.1221600322.

Adding to 13845120 its reverse (2154831), we get a palindrome (15999951).

The spelling of 13845120 in words is "thirteen million, eight hundred forty-five thousand, one hundred twenty".