135577829 has 2 divisors, whose sum is σ = 135577830. Its totient is φ = 135577828.

The previous prime is 135577759. The next prime is 135577853. The reversal of 135577829 is 928775531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111302500 + 24275329 = 10550^2 + 4927^2 .

It is a cyclic number.

It is not a de Polignac number, because 135577829 - 2⁸ = 135577573 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135577889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67788914 + 67788915.

It is an arithmetic number, because the mean of its divisors is an integer number (67788915).

Almost surely, 2^135577829 is an apocalyptic number.

It is an amenable number.

135577829 is a deficient number, since it is larger than the sum of its proper divisors (1).

135577829 is an equidigital number, since it uses as much as digits as its factorization.

135577829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 529200, while the sum is 47.

The square root of 135577829 is about 11643.7892887153. The cubic root of 135577829 is about 513.7236486781.

The spelling of 135577829 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, eight hundred twenty-nine".