13500135 has 32 divisors (see below), whose sum is σ = 26184960. Its totient is φ = 6544800.

The previous prime is 13500133. The next prime is 13500163. The reversal of 13500135 is 53100531.

It is a happy number.

13500135 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13500135 - 2¹ = 13500133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3061 + ... + 6030.

It is an arithmetic number, because the mean of its divisors is an integer number (818280).

Almost surely, 2^13500135 is an apocalyptic number.

13500135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13500135 is a deficient number, since it is larger than the sum of its proper divisors (12684825).

13500135 is a wasteful number, since it uses less digits than its factorization.

13500135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9116 (or 9110 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13500135 is about 3674.2529853019. The cubic root of 13500135 is about 238.1109514931.

Adding to 13500135 its reverse (53100531), we get a palindrome (66600666).

It can be divided in two parts, 13500 and 135, that multiplied together give a square (1822500 = 1350²).

The spelling of 13500135 in words is "thirteen million, five hundred thousand, one hundred thirty-five".