13875104 has 48 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 6585600.

The previous prime is 13875101. The next prime is 13875109. The reversal of 13875104 is 40157831.

It is a super-2 number, since 2×13875104² = 385037022021632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875101) 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, 70334 + ... + 70530.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 2^13875104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048).

13875104 is an abundant number, since it is smaller than the sum of its proper divisors (14864992).

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

13875104 is a wasteful number, since it uses less digits than its factorization.

13875104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 13875104 is about 3724.9300664576. The cubic root of 13875104 is about 240.2953770599.

The spelling of 13875104 in words is "thirteen million, eight hundred seventy-five thousand, one hundred four".