13500090 has 24 divisors (see below), whose sum is σ = 35100468. Its totient is φ = 3600000.

The previous prime is 13500077. The next prime is 13500119. The reversal of 13500090 is 9000531.

It can be written as a sum of positive squares in 2 ways, for example, as 13198689 + 301401 = 3633^2 + 549^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 74911 + ... + 75090.

Almost surely, 2^13500090 is an apocalyptic number.

13500090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13500090 is an abundant number, since it is smaller than the sum of its proper divisors (21600378).

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

13500090 is a wasteful number, since it uses less digits than its factorization.

13500090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150014 (or 150011 counting only the distinct ones).

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

The square root of 13500090 is about 3674.2468616031. The cubic root of 13500090 is about 238.1106869277.

The spelling of 13500090 in words is "thirteen million, five hundred thousand, ninety".