135307935 has 64 divisors (see below), whose sum is σ = 277263360. Its totient is φ = 61326720.

The previous prime is 135307897. The next prime is 135307937. The reversal of 135307935 is 539703531.

It is a happy number.

It is not a de Polignac number, because 135307935 - 2⁶ = 135307871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135307935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135307937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123249 + ... + 124341.

It is an arithmetic number, because the mean of its divisors is an integer number (4332240).

Almost surely, 2^135307935 is an apocalyptic number.

135307935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135307935 is an abundant number, since it is smaller than the sum of its proper divisors (141955425).

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

135307935 is a wasteful number, since it uses less digits than its factorization.

135307935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 36.

The square root of 135307935 is about 11632.1939031294. The cubic root of 135307935 is about 513.3825333271.

The spelling of 135307935 in words is "one hundred thirty-five million, three hundred seven thousand, nine hundred thirty-five".