13738752 has 108 divisors (see below), whose sum is σ = 40655160. Its totient is φ = 4460544.

The previous prime is 13738717. The next prime is 13738849. The reversal of 13738752 is 25783731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154324 + ... + 154412.

Almost surely, 2^13738752 is an apocalyptic number.

13738752 is a gapful number since it is divisible by the number (12) 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 13738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327580).

13738752 is an abundant number, since it is smaller than the sum of its proper divisors (26916408).

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

13738752 is an equidigital number, since it uses as much as digits as its factorization.

13738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 13738752 is about 3706.5822532355. The cubic root of 13738752 is about 239.5056491041.

The spelling of 13738752 in words is "thirteen million, seven hundred thirty-eight thousand, seven hundred fifty-two".