13749264 has 75 divisors (see below), whose sum is σ = 40184463. Its totient is φ = 4538592.

The previous prime is 13749259. The next prime is 13749283. The reversal of 13749264 is 46294731.

The square root of 13749264 is 3708.

It is a perfect power (a square), and thus also a powerful number.

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

Its product of digits (36288) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 133437 + ... + 133539.

Almost surely, 2^13749264 is an apocalyptic number.

13749264 is the 3708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13749264

13749264 is an abundant number, since it is smaller than the sum of its proper divisors (26435199).

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

13749264 is an equidigital number, since it uses as much as digits as its factorization.

13749264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 108 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 13749264 is about 239.5667182496.

Multiplying 13749264 by its sum of digits (36), we get a square (494973504 = 22248²).

13749264 divided by its sum of digits (36) gives a square (381924 = 618²).

The spelling of 13749264 in words is "thirteen million, seven hundred forty-nine thousand, two hundred sixty-four".