13512135 has 64 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 5391360.

The previous prime is 13512131. The next prime is 13512143. The reversal of 13512135 is 53121531.

It is not a de Polignac number, because 13512135 - 2² = 13512131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13512131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25675 + ... + 26195.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 2^13512135 is an apocalyptic number.

13512135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13512135 is an abundant number, since it is smaller than the sum of its proper divisors (14550585).

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

13512135 is a wasteful number, since it uses less digits than its factorization.

13512135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568.

The product of its digits is 450, while the sum is 21.

The square root of 13512135 is about 3675.8856075781. The cubic root of 13512135 is about 238.1814812873.

Adding to 13512135 its reverse (53121531), we get a palindrome (66633666).

It can be divided in two parts, 1351 and 2135, that added together give a triangular number (3486 = T₈₃).

The spelling of 13512135 in words is "thirteen million, five hundred twelve thousand, one hundred thirty-five".