13695132 has 72 divisors (see below), whose sum is σ = 37134720. Its totient is φ = 3895040.

The previous prime is 13695131. The next prime is 13695151. The reversal of 13695132 is 23159631.

13695132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13695132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13695131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37969 + ... + 38327.

It is an arithmetic number, because the mean of its divisors is an integer number (515760).

Almost surely, 2^13695132 is an apocalyptic number.

13695132 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 13695132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567360).

13695132 is an abundant number, since it is smaller than the sum of its proper divisors (23439588).

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

13695132 is a wasteful number, since it uses less digits than its factorization.

13695132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 392 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 13695132 is about 3700.6934485310. The cubic root of 13695132 is about 239.2519066856.

The spelling of 13695132 in words is "thirteen million, six hundred ninety-five thousand, one hundred thirty-two".