13745304 has 72 divisors (see below), whose sum is σ = 38724660. Its totient is φ = 4404288.

The previous prime is 13745287. The next prime is 13745309. The reversal of 13745304 is 40354731.

13745304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60439 + ... + 60665.

Almost surely, 2^13745304 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 13745304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362330).

13745304 is an abundant number, since it is smaller than the sum of its proper divisors (24979356).

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

13745304 is a wasteful number, since it uses less digits than its factorization.

13745304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 13745304 is about 3707.4659809633. The cubic root of 13745304 is about 239.5437164051.

The spelling of 13745304 in words is "thirteen million, seven hundred forty-five thousand, three hundred four".