135052672289 has 2 divisors, whose sum is σ = 135052672290. Its totient is φ = 135052672288.

The previous prime is 135052672259. The next prime is 135052672319. The reversal of 135052672289 is 982276250531.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (135052672259) and next prime (135052672319).

It can be written as a sum of positive squares in only one way, i.e., 132350440000 + 2702232289 = 363800^2 + 51983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135052672289 is a prime.

It is not a weakly prime, because it can be changed into another prime (135052672259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67526336144 + 67526336145.

It is an arithmetic number, because the mean of its divisors is an integer number (67526336145).

Almost surely, 2^135052672289 is an apocalyptic number.

It is an amenable number.

135052672289 is a deficient number, since it is larger than the sum of its proper divisors (1).

135052672289 is an equidigital number, since it uses as much as digits as its factorization.

135052672289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 135052672289 in words is "one hundred thirty-five billion, fifty-two million, six hundred seventy-two thousand, two hundred eighty-nine".