13536000 has 216 divisors, whose sum is σ = 49742784. Its totient is φ = 3532800.

The previous prime is 13535993. The next prime is 13536001. The reversal of 13536000 is 63531.

13536000 is a `hidden beast` number, since 13 + 53 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13536001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287977 + ... + 288023.

Almost surely, 2^13536000 is an apocalyptic number.

13536000 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 13536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24871392).

13536000 is an abundant number, since it is smaller than the sum of its proper divisors (36206784).

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

13536000 is an equidigital number, since it uses as much as digits as its factorization.

13536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13536000 is about 3679.1303320214. The cubic root of 13536000 is about 238.3216234106.

Adding to 13536000 its reverse (63531), we get a palindrome (13599531).

The spelling of 13536000 in words is "thirteen million, five hundred thirty-six thousand".