135310527 has 32 divisors (see below), whose sum is σ = 221184000. Its totient is φ = 81069120.

The previous prime is 135310481. The next prime is 135310559. The reversal of 135310527 is 725013531.

135310527 is a `hidden beast` number, since 135 + 3 + 1 + 0 + 527 = 666.

It is not a de Polignac number, because 135310527 - 2¹¹ = 135308479 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135310527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135310577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23874 + ... + 28992.

It is an arithmetic number, because the mean of its divisors is an integer number (6912000).

Almost surely, 2^135310527 is an apocalyptic number.

135310527 is a deficient number, since it is larger than the sum of its proper divisors (85873473).

135310527 is a wasteful number, since it uses less digits than its factorization.

135310527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5222 counting only the distinct ones).

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

The square root of 135310527 is about 11632.3053175198. The cubic root of 135310527 is about 513.3858114769.

The spelling of 135310527 in words is "one hundred thirty-five million, three hundred ten thousand, five hundred twenty-seven".