135530307 has 48 divisors (see below), whose sum is σ = 232828800. Its totient is φ = 77258880.

The previous prime is 135530303. The next prime is 135530309. The reversal of 135530307 is 703035531.

135530307 is a `hidden beast` number, since 1 + 355 + 3 + 0 + 307 = 666.

It is not a de Polignac number, because 135530307 - 2² = 135530303 is a prime.

It is a super-3 number, since 3×135530307³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135530303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85044 + ... + 86622.

It is an arithmetic number, because the mean of its divisors is an integer number (4850600).

Almost surely, 2^135530307 is an apocalyptic number.

135530307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135530307 is a deficient number, since it is larger than the sum of its proper divisors (97298493).

135530307 is a wasteful number, since it uses less digits than its factorization.

135530307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 135530307 is about 11641.7484511563. The cubic root of 135530307 is about 513.6636191281.

Adding to 135530307 its reverse (703035531), we get a palindrome (838565838).

The spelling of 135530307 in words is "one hundred thirty-five million, five hundred thirty thousand, three hundred seven".