13532000 has 96 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 5068800.

The previous prime is 13531997. The next prime is 13532003. The reversal of 13532000 is 23531.

It is an interprime number because it is at equal distance from previous prime (13531997) and next prime (13532003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13532003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67901 + ... + 68099.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^13532000 is an apocalyptic number.

13532000 is a gapful number since it is divisible by the number (10) 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 13532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13532000 is an abundant number, since it is smaller than the sum of its proper divisors (21848800).

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

13532000 is a wasteful number, since it uses less digits than its factorization.

13532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 13532000 is about 3678.5866851279. The cubic root of 13532000 is about 238.2981457607.

Adding to 13532000 its reverse (23531), we get a palindrome (13555531).

The spelling of 13532000 in words is "thirteen million, five hundred thirty-two thousand".