135112129 has 2 divisors, whose sum is σ = 135112130. Its totient is φ = 135112128.

The previous prime is 135112127. The next prime is 135112139. The reversal of 135112129 is 921211531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90916225 + 44195904 = 9535^2 + 6648^2 .

It is a cyclic number.

It is not a de Polignac number, because 135112129 - 2¹ = 135112127 is a prime.

Together with 135112127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (135112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67556064 + 67556065.

It is an arithmetic number, because the mean of its divisors is an integer number (67556065).

Almost surely, 2^135112129 is an apocalyptic number.

It is an amenable number.

135112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

135112129 is an equidigital number, since it uses as much as digits as its factorization.

135112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 25.

The square root of 135112129 is about 11623.7743009747. The cubic root of 135112129 is about 513.1347727678.

The spelling of 135112129 in words is "one hundred thirty-five million, one hundred twelve thousand, one hundred twenty-nine".