135638729 has 2 divisors, whose sum is σ = 135638730. Its totient is φ = 135638728.

The previous prime is 135638719. The next prime is 135638731. The reversal of 135638729 is 927836531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86918329 + 48720400 = 9323^2 + 6980^2 .

It is a cyclic number.

It is not a de Polignac number, because 135638729 - 2²⁰ = 134590153 is a prime.

Together with 135638731, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135638729.

It is not a weakly prime, because it can be changed into another prime (135638719) 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 as a sum of consecutive naturals, namely, 67819364 + 67819365.

It is an arithmetic number, because the mean of its divisors is an integer number (67819365).

Almost surely, 2^135638729 is an apocalyptic number.

It is an amenable number.

135638729 is a deficient number, since it is larger than the sum of its proper divisors (1).

135638729 is an equidigital number, since it uses as much as digits as its factorization.

135638729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 44.

The square root of 135638729 is about 11646.4041231618. The cubic root of 135638729 is about 513.8005567468.

Subtracting from 135638729 its sum of digits (44), we obtain a triangular number (135638685 = T₁₆₄₇₀).

The spelling of 135638729 in words is "one hundred thirty-five million, six hundred thirty-eight thousand, seven hundred twenty-nine".