13677144 has 64 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4131456.

The previous prime is 13677143. The next prime is 13677151. The reversal of 13677144 is 44177631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18037 + ... + 18779.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^13677144 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 13677144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13677144 is an abundant number, since it is smaller than the sum of its proper divisors (23820456).

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

13677144 is a wasteful number, since it uses less digits than its factorization.

13677144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 13677144 is about 3698.2622946460. The cubic root of 13677144 is about 239.1471115681.

The spelling of 13677144 in words is "thirteen million, six hundred seventy-seven thousand, one hundred forty-four".