135825357799129 has 2 divisors, whose sum is σ = 135825357799130. Its totient is φ = 135825357799128.

The previous prime is 135825357799127. The next prime is 135825357799163. The reversal of 135825357799129 is 921997753528531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133443459443529 + 2381898355600 = 11551773^2 + 1543340^2 .

It is a cyclic number.

It is not a de Polignac number, because 135825357799129 - 2¹ = 135825357799127 is a prime.

It is a super-3 number, since 3×135825357799129³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 135825357799127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (135825357799127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67912678899564 + 67912678899565.

It is an arithmetic number, because the mean of its divisors is an integer number (67912678899565).

Almost surely, 2^{135825357799129} is an apocalyptic number.

It is an amenable number.

135825357799129 is a deficient number, since it is larger than the sum of its proper divisors (1).

135825357799129 is an equidigital number, since it uses as much as digits as its factorization.

135825357799129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1285956000, while the sum is 76.

The spelling of 135825357799129 in words is "one hundred thirty-five trillion, eight hundred twenty-five billion, three hundred fifty-seven million, seven hundred ninety-nine thousand, one hundred twenty-nine".