13788144 has 50 divisors (see below), whose sum is σ = 39910640. Its totient is φ = 4595616.

The previous prime is 13788119. The next prime is 13788157. The reversal of 13788144 is 44188731.

13788144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13788144² = 380225829929472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13788099 and 13788108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4024 + ... + 6615.

Almost surely, 2^13788144 is an apocalyptic number.

It is an amenable number.

13788144 is an abundant number, since it is smaller than the sum of its proper divisors (26122496).

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

13788144 is a wasteful number, since it uses less digits than its factorization.

13788144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10659 (or 10644 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 13788144 is about 3713.2390173540. The cubic root of 13788144 is about 239.7923203400.

The spelling of 13788144 in words is "thirteen million, seven hundred eighty-eight thousand, one hundred forty-four".