13745888 has 48 divisors (see below), whose sum is σ = 29465856. Its totient is φ = 6274560.

The previous prime is 13745887. The next prime is 13745899. The reversal of 13745888 is 88854731.

It is a super-3 number, since 3×13745888³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745887) 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, 71873 + ... + 72063.

It is an arithmetic number, because the mean of its divisors is an integer number (613872).

Almost surely, 2^13745888 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 13745888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732928).

13745888 is an abundant number, since it is smaller than the sum of its proper divisors (15719968).

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

13745888 is a wasteful number, since it uses less digits than its factorization.

13745888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its digits is 215040, while the sum is 44.

The square root of 13745888 is about 3707.5447401211. The cubic root of 13745888 is about 239.5471088740.

The spelling of 13745888 in words is "thirteen million, seven hundred forty-five thousand, eight hundred eighty-eight".