135757 has 2 divisors, whose sum is σ = 135758. Its totient is φ = 135756.

The previous prime is 135743. The next prime is 135781. The reversal of 135757 is 757531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 51076 = 291^2 + 226^2 .

It is a cyclic number.

It is not a de Polignac number, because 135757 - 2¹¹ = 133709 is a prime.

135757 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67878 + 67879.

It is an arithmetic number, because the mean of its divisors is an integer number (67879).

2¹³⁵⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

135757 is a deficient number, since it is larger than the sum of its proper divisors (1).

135757 is an equidigital number, since it uses as much as digits as its factorization.

135757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3675, while the sum is 28.

The square root of 135757 is about 368.4521678590. The cubic root of 135757 is about 51.3949850518.

The spelling of 135757 in words is "one hundred thirty-five thousand, seven hundred fifty-seven".