13500900 has 108 divisors (see below), whose sum is σ = 48385792. Its totient is φ = 3084480.

The previous prime is 13500899. The next prime is 13500917. The reversal of 13500900 is 900531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5229 + ... + 7371.

Almost surely, 2^13500900 is an apocalyptic number.

13500900 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 13500900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192896).

13500900 is an abundant number, since it is smaller than the sum of its proper divisors (34884892).

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

13500900 is a wasteful number, since it uses less digits than its factorization.

13500900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13500900 is about 3674.3570866207. The cubic root of 13500900 is about 238.1154490145.

It can be divided in two parts, 13500 and 900, that added together give a square (14400 = 120²).

The spelling of 13500900 in words is "thirteen million, five hundred thousand, nine hundred".