13745376 has 60 divisors (see below), whose sum is σ = 40432392. Its totient is φ = 4580928.

The previous prime is 13745371. The next prime is 13745377. The reversal of 13745376 is 67354731.

13745376 is a `hidden beast` number, since 137 + 453 + 76 = 666.

13745376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13745376² = 377870722762752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13745376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13745371) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 60 + ... + 5243.

Almost surely, 2^13745376 is an apocalyptic number.

13745376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13745376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20216196).

13745376 is an abundant number, since it is smaller than the sum of its proper divisors (26687016).

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

13745376 is an equidigital number, since it uses as much as digits as its factorization.

13745376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5308 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 13745376 is about 3707.4756910869. The cubic root of 13745376 is about 239.5441346599.

The spelling of 13745376 in words is "thirteen million, seven hundred forty-five thousand, three hundred seventy-six".