13845888 has 192 divisors, whose sum is σ = 48690720. Its totient is φ = 3686400.

The previous prime is 13845883. The next prime is 13845893. The reversal of 13845888 is 88854831.

It is an interprime number because it is at equal distance from previous prime (13845883) and next prime (13845893).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13845888² = 383417229017088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137038 + ... + 137138.

Almost surely, 2^13845888 is an apocalyptic number.

13845888 is a gapful number since it is divisible by the number (18) 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 13845888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24345360).

13845888 is an abundant number, since it is smaller than the sum of its proper divisors (34844832).

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

13845888 is a wasteful number, since it uses less digits than its factorization.

13845888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 13845888 is about 3721.0063155012. The cubic root of 13845888 is about 240.1265998736.

The spelling of 13845888 in words is "thirteen million, eight hundred forty-five thousand, eight hundred eighty-eight".