13663152 has 60 divisors (see below), whose sum is σ = 38494560. Its totient is φ = 4523904.

The previous prime is 13663123. The next prime is 13663159. The reversal of 13663152 is 25136631.

13663152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13663159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34218 + ... + 34614.

It is an arithmetic number, because the mean of its divisors is an integer number (641576).

Almost surely, 2^13663152 is an apocalyptic number.

13663152 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 13663152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247280).

13663152 is an abundant number, since it is smaller than the sum of its proper divisors (24831408).

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

13663152 is a wasteful number, since it uses less digits than its factorization.

13663152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 641 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13663152 is about 3696.3701113390. The cubic root of 13663152 is about 239.0655329360.

Adding to 13663152 its reverse (25136631), we get a palindrome (38799783).

The spelling of 13663152 in words is "thirteen million, six hundred sixty-three thousand, one hundred fifty-two".