135306135 has 24 divisors (see below), whose sum is σ = 234967824. Its totient is φ = 72028800.

The previous prime is 135306133. The next prime is 135306139. The reversal of 135306135 is 531603531.

135306135 is a `hidden beast` number, since 13 + 5 + 30 + 613 + 5 = 666.

It is not a de Polignac number, because 135306135 - 2¹ = 135306133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135306099 and 135306108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135306133) 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, 24544 + ... + 29546.

It is an arithmetic number, because the mean of its divisors is an integer number (9790326).

Almost surely, 2^135306135 is an apocalyptic number.

135306135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135306135 is a deficient number, since it is larger than the sum of its proper divisors (99661689).

135306135 is a wasteful number, since it uses less digits than its factorization.

135306135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 135306135 is about 11632.1165313970. The cubic root of 135306135 is about 513.3802568096.

Adding to 135306135 its reverse (531603531), we get a palindrome (666909666).

The spelling of 135306135 in words is "one hundred thirty-five million, three hundred six thousand, one hundred thirty-five".