135153112336129 has 2 divisors, whose sum is σ = 135153112336130. Its totient is φ = 135153112336128.

The previous prime is 135153112336127. The next prime is 135153112336147. The reversal of 135153112336129 is 921633211351531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127652486755600 + 7500625580529 = 11298340^2 + 2738727^2 .

It is a cyclic number.

It is not a de Polignac number, because 135153112336129 - 2¹ = 135153112336127 is a prime.

Together with 135153112336127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (135153112336127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67576556168064 + 67576556168065.

It is an arithmetic number, because the mean of its divisors is an integer number (67576556168065).

Almost surely, 2^{135153112336129} is an apocalyptic number.

It is an amenable number.

135153112336129 is a deficient number, since it is larger than the sum of its proper divisors (1).

135153112336129 is an equidigital number, since it uses as much as digits as its factorization.

135153112336129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 437400, while the sum is 46.

The spelling of 135153112336129 in words is "one hundred thirty-five trillion, one hundred fifty-three billion, one hundred twelve million, three hundred thirty-six thousand, one hundred twenty-nine".