13745368 has 64 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 5346432.

The previous prime is 13745363. The next prime is 13745371. The reversal of 13745368 is 86354731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57393 + ... + 57631.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 2^13745368 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 13745368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

13745368 is an abundant number, since it is smaller than the sum of its proper divisors (18510632).

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

13745368 is a wasteful number, since it uses less digits than its factorization.

13745368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 13745368 is about 3707.4746121855. The cubic root of 13745368 is about 239.5440881872.

The spelling of 13745368 in words is "thirteen million, seven hundred forty-five thousand, three hundred sixty-eight".