13500032 has 128 divisors (see below), whose sum is σ = 35414400. Its totient is φ = 4976640.

The previous prime is 13500007. The next prime is 13500037. The reversal of 13500032 is 23000531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (13500037) 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, 221282 + ... + 221342.

It is an arithmetic number, because the mean of its divisors is an integer number (276675).

Almost surely, 2^13500032 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 13500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707200).

13500032 is an abundant number, since it is smaller than the sum of its proper divisors (21914368).

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

13500032 is a wasteful number, since it uses less digits than its factorization.

13500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

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

The square root of 13500032 is about 3674.2389688206. The cubic root of 13500032 is about 238.1103459315.

Adding to 13500032 its reverse (23000531), we get a palindrome (36500563).

The spelling of 13500032 in words is "thirteen million, five hundred thousand, thirty-two".