13281152 has 64 divisors (see below), whose sum is σ = 28723200. Its totient is φ = 6096384.

The previous prime is 13281091. The next prime is 13281157. The reversal of 13281152 is 25118231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104513 + ... + 104639.

It is an arithmetic number, because the mean of its divisors is an integer number (448800).

Almost surely, 2^13281152 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 13281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361600).

13281152 is an abundant number, since it is smaller than the sum of its proper divisors (15442048).

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

13281152 is a wasteful number, since it uses less digits than its factorization.

13281152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 13281152 is about 3644.3314887644. The cubic root of 13281152 is about 236.8164768179.

Adding to 13281152 its reverse (25118231), we get a palindrome (38399383).

The spelling of 13281152 in words is "thirteen million, two hundred eighty-one thousand, one hundred fifty-two".