13746144 has 72 divisors (see below), whose sum is σ = 37535400. Its totient is φ = 4404480.

The previous prime is 13746107. The next prime is 13746151. The reversal of 13746144 is 44164731.

Its product of digits (8064) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92182 + ... + 92330.

It is an arithmetic number, because the mean of its divisors is an integer number (521325).

Almost surely, 2^13746144 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 13746144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18767700).

13746144 is an abundant number, since it is smaller than the sum of its proper divisors (23789256).

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

13746144 is a wasteful number, since it uses less digits than its factorization.

13746144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 185 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 13746144 is about 3707.5792641561. The cubic root of 13746144 is about 239.5485959534.

The spelling of 13746144 in words is "thirteen million, seven hundred forty-six thousand, one hundred forty-four".