13530112 has 44 divisors (see below), whose sum is σ = 27568996. Its totient is φ = 6635520.

The previous prime is 13530107. The next prime is 13530119. The reversal of 13530112 is 21103531.

13530112 = 394² + 395² + ... + 466².

It can be written as a sum of positive squares in 2 ways, for example, as 2876416 + 10653696 = 1696^2 + 3264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74662 + ... + 74842.

Almost surely, 2^13530112 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 13530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784498).

13530112 is an abundant number, since it is smaller than the sum of its proper divisors (14038884).

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

13530112 is an equidigital number, since it uses as much as digits as its factorization.

13530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13530112 is about 3678.3300558813. The cubic root of 13530112 is about 238.2870627026.

Adding to 13530112 its reverse (21103531), we get a palindrome (34633643).

The spelling of 13530112 in words is "thirteen million, five hundred thirty thousand, one hundred twelve".