13500800 has 48 divisors (see below), whose sum is σ = 33359100. Its totient is φ = 5399040.

The previous prime is 13500769. The next prime is 13500827. The reversal of 13500800 is 800531.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1091 + ... + 5309.

Almost surely, 2^13500800 is an apocalyptic number.

13500800 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 13500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679550).

13500800 is an abundant number, since it is smaller than the sum of its proper divisors (19858300).

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

13500800 is an equidigital number, since it uses as much as digits as its factorization.

13500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 13500800 is about 3674.3434787728. The cubic root of 13500800 is about 238.1148611129.

The spelling of 13500800 in words is "thirteen million, five hundred thousand, eight hundred".