13800075 has 24 divisors (see below), whose sum is σ = 23437488. Its totient is φ = 7159680.

The previous prime is 13800071. The next prime is 13800077. The reversal of 13800075 is 57000831.

It is not a de Polignac number, because 13800075 - 2² = 13800071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13800071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 289 + ... + 5261.

It is an arithmetic number, because the mean of its divisors is an integer number (976562).

Almost surely, 2^13800075 is an apocalyptic number.

13800075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13800075 is a deficient number, since it is larger than the sum of its proper divisors (9637413).

13800075 is a wasteful number, since it uses less digits than its factorization.

13800075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 13800075 is about 3714.8452188483. The cubic root of 13800075 is about 239.8614651880.

It can be divided in two parts, 138000 and 75, that added together give a triangular number (138075 = T₅₂₅).

The spelling of 13800075 in words is "thirteen million, eight hundred thousand, seventy-five".