14538120 has 32 divisors (see below), whose sum is σ = 43614720. Its totient is φ = 3876800.

The previous prime is 14538113. The next prime is 14538127. The reversal of 14538120 is 2183541.

It is an interprime number because it is at equal distance from previous prime (14538113) and next prime (14538127).

It is a super-2 number, since 2×14538120² = 422713866268800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14538127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60456 + ... + 60695.

It is an arithmetic number, because the mean of its divisors is an integer number (1362960).

Almost surely, 2^14538120 is an apocalyptic number.

14538120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14538120 is an abundant number, since it is smaller than the sum of its proper divisors (29076600).

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

14538120 is a wasteful number, since it uses less digits than its factorization.

14538120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121165 (or 121161 counting only the distinct ones).

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

The square root of 14538120 is about 3812.8886687130. Note that the first 3 decimals coincide. The cubic root of 14538120 is about 244.0634520995.

The spelling of 14538120 in words is "fourteen million, five hundred thirty-eight thousand, one hundred twenty".