13205152 has 48 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 6075648.

The previous prime is 13205149. The next prime is 13205173. The reversal of 13205152 is 25150231.

13205152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22203 + ... + 22789.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 2^13205152 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 13205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

13205152 is an abundant number, since it is smaller than the sum of its proper divisors (14948288).

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

13205152 is a wasteful number, since it uses less digits than its factorization.

13205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 13205152 is about 3633.8893764120. The cubic root of 13205152 is about 236.3638932757.

Adding to 13205152 its reverse (25150231), we get a palindrome (38355383).

The spelling of 13205152 in words is "thirteen million, two hundred five thousand, one hundred fifty-two".