13540332 has 96 divisors (see below), whose sum is σ = 36550080. Its totient is φ = 3870720.

The previous prime is 13540309. The next prime is 13540333. The reversal of 13540332 is 23304531.

It is a junction number, because it is equal to n+sod(n) for n = 13540299 and 13540308.

It is not an unprimeable number, because it can be changed into a prime (13540333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185448 + ... + 185520.

It is an arithmetic number, because the mean of its divisors is an integer number (380730).

Almost surely, 2^13540332 is an apocalyptic number.

13540332 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 13540332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18275040).

13540332 is an abundant number, since it is smaller than the sum of its proper divisors (23009748).

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

13540332 is a wasteful number, since it uses less digits than its factorization.

13540332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 13540332 is about 3679.7190110116. The cubic root of 13540332 is about 238.3470444891.

Adding to 13540332 its reverse (23304531), we get a palindrome (36844863).

The spelling of 13540332 in words is "thirteen million, five hundred forty thousand, three hundred thirty-two".