133505767 has 2 divisors, whose sum is σ = 133505768. Its totient is φ = 133505766.

The previous prime is 133505689. The next prime is 133505783. The reversal of 133505767 is 767505331.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 133505767 - 2²³ = 125117159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133505797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66752883 + 66752884.

It is an arithmetic number, because the mean of its divisors is an integer number (66752884).

Almost surely, 2^133505767 is an apocalyptic number.

133505767 is a deficient number, since it is larger than the sum of its proper divisors (1).

133505767 is an equidigital number, since it uses as much as digits as its factorization.

133505767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66150, while the sum is 37.

The square root of 133505767 is about 11554.4695680936. The cubic root of 133505767 is about 511.0930893019.

The spelling of 133505767 in words is "one hundred thirty-three million, five hundred five thousand, seven hundred sixty-seven".