12735135 has 24 divisors (see below), whose sum is σ = 25228320. Its totient is φ = 5821632.

The previous prime is 12735131. The next prime is 12735137. The reversal of 12735135 is 53153721.

12735135 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12735135 - 2² = 12735131 is a prime.

12735135 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 12735099 and 12735108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19900 + ... + 20529.

It is an arithmetic number, because the mean of its divisors is an integer number (1051180).

Almost surely, 2^12735135 is an apocalyptic number.

12735135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12735135 is a deficient number, since it is larger than the sum of its proper divisors (12493185).

12735135 is a wasteful number, since it uses less digits than its factorization.

12735135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40447 (or 40444 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 12735135 is about 3568.6320908718. The cubic root of 12735135 is about 233.5256113513.

Adding to 12735135 its reverse (53153721), we get a palindrome (65888856).

The spelling of 12735135 in words is "twelve million, seven hundred thirty-five thousand, one hundred thirty-five".