13438152 has 144 divisors (see below), whose sum is σ = 45749340. Its totient is φ = 3532032.

The previous prime is 13438147. The next prime is 13438157. The reversal of 13438152 is 25183431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13438147) and next prime (13438157).

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 86436 = 3654^2 + 294^2 .

It is not an unprimeable number, because it can be changed into a prime (13438157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45718 + ... + 46010.

Almost surely, 2^13438152 is an apocalyptic number.

13438152 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 13438152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22874670).

13438152 is an abundant number, since it is smaller than the sum of its proper divisors (32311188).

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

13438152 is a wasteful number, since it uses less digits than its factorization.

13438152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13438152 is about 3665.8085056369. The cubic root of 13438152 is about 237.7459804208.

The spelling of 13438152 in words is "thirteen million, four hundred thirty-eight thousand, one hundred fifty-two".