13545332000 has 96 divisors (see below), whose sum is σ = 33494413680. Its totient is φ = 5383372800.

The previous prime is 13545331979. The next prime is 13545332051. The reversal of 13545332000 is 23354531.

13545332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 750102544 + 12795229456 = 27388^2 + 113116^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617216 + ... + 638784.

Almost surely, 2^13545332000 is an apocalyptic number.

13545332000 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 13545332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747206840).

13545332000 is an abundant number, since it is smaller than the sum of its proper divisors (19949081680).

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

13545332000 is a wasteful number, since it uses less digits than its factorization.

13545332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21751 (or 21733 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 13545332000 its reverse (23354531), we get a palindrome (13568686531).

The spelling of 13545332000 in words is "thirteen billion, five hundred forty-five million, three hundred thirty-two thousand".