135605767 has 16 divisors (see below), whose sum is σ = 149958432. Its totient is φ = 121605120.

The previous prime is 135605699. The next prime is 135605773. The reversal of 135605767 is 767506531.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 135605767 - 2²³ = 127217159 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135605797) 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 15 ways as a sum of consecutive naturals, for example, 402223 + ... + 402559.

It is an arithmetic number, because the mean of its divisors is an integer number (9372402).

Almost surely, 2^135605767 is an apocalyptic number.

135605767 is a deficient number, since it is larger than the sum of its proper divisors (14352665).

135605767 is a wasteful number, since it uses less digits than its factorization.

135605767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 135605767 is about 11644.9889222790. The cubic root of 135605767 is about 513.7589332711.

The spelling of 135605767 in words is "one hundred thirty-five million, six hundred five thousand, seven hundred sixty-seven".