13530132 has 96 divisors (see below), whose sum is σ = 43760640. Its totient is φ = 3512160.

The previous prime is 13530131. The next prime is 13530133. The reversal of 13530132 is 23103531.

13530132 is a `hidden beast` number, since 1 + 3 + 530 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (13530131) and next prime (13530133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7503 + ... + 9129.

It is an arithmetic number, because the mean of its divisors is an integer number (455840).

Almost surely, 2^13530132 is an apocalyptic number.

13530132 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 13530132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21880320).

13530132 is an abundant number, since it is smaller than the sum of its proper divisors (30230508).

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

13530132 is a wasteful number, since it uses less digits than its factorization.

13530132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13530132 is about 3678.3327745053. The cubic root of 13530132 is about 238.2871801133.

Adding to 13530132 its reverse (23103531), we get a palindrome (36633663).

The spelling of 13530132 in words is "thirteen million, five hundred thirty thousand, one hundred thirty-two".