13878144 has 96 divisors (see below), whose sum is σ = 45667440. Its totient is φ = 3962880.

The previous prime is 13878133. The next prime is 13878149. The reversal of 13878144 is 44187831.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13878099 and 13878108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13878149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7204 + ... + 8924.

Almost surely, 2^13878144 is an apocalyptic number.

13878144 is a gapful number since it is divisible by the number (14) 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 13878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833720).

13878144 is an abundant number, since it is smaller than the sum of its proper divisors (31789296).

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

13878144 is a wasteful number, since it uses less digits than its factorization.

13878144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1733 counting only the distinct ones).

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

The square root of 13878144 is about 3725.3381054610. The cubic root of 13878144 is about 240.3129251471.

The spelling of 13878144 in words is "thirteen million, eight hundred seventy-eight thousand, one hundred forty-four".