13745790 has 48 divisors (see below), whose sum is σ = 35996688. Its totient is φ = 3639168.

The previous prime is 13745777. The next prime is 13745791. The reversal of 13745790 is 9754731.

It is a happy number.

13745790 is a `hidden beast` number, since 13 + 74 + 579 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14202 + ... + 15138.

It is an arithmetic number, because the mean of its divisors is an integer number (749931).

Almost surely, 2^13745790 is an apocalyptic number.

13745790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13745790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998344).

13745790 is an abundant number, since it is smaller than the sum of its proper divisors (22250898).

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

13745790 is a wasteful number, since it uses less digits than its factorization.

13745790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 13745790 is about 3707.5315238039. The cubic root of 13745790 is about 239.5465395965.

It can be divided in two parts, 13745 and 790, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13745790 in words is "thirteen million, seven hundred forty-five thousand, seven hundred ninety".