13536200 has 48 divisors (see below), whose sum is σ = 32090580. Its totient is φ = 5308160.

The previous prime is 13536197. The next prime is 13536223. The reversal of 13536200 is 263531.

13536200 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 6 ways, for example, as 7474756 + 6061444 = 2734^2 + 2462^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9962 + ... + 11238.

Almost surely, 2^13536200 is an apocalyptic number.

13536200 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 13536200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045290).

13536200 is an abundant number, since it is smaller than the sum of its proper divisors (18554380).

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

13536200 is a wasteful number, since it uses less digits than its factorization.

13536200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 13536200 is about 3679.1575122574. The cubic root of 13536200 is about 238.3227971717.

Adding to 13536200 its reverse (263531), we get a palindrome (13799731).

The spelling of 13536200 in words is "thirteen million, five hundred thirty-six thousand, two hundred".