135105635114621 has 2 divisors, whose sum is σ = 135105635114622. Its totient is φ = 135105635114620.

The previous prime is 135105635114617. The next prime is 135105635114669. The reversal of 135105635114621 is 126411536501531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72333068863225 + 62772566251396 = 8504885^2 + 7922914^2 .

It is a cyclic number.

It is not a de Polignac number, because 135105635114621 - 2² = 135105635114617 is a prime.

It is a super-2 number, since 2×135105635114621² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135105635114221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67552817557310 + 67552817557311.

It is an arithmetic number, because the mean of its divisors is an integer number (67552817557311).

Almost surely, 2^{135105635114621} is an apocalyptic number.

It is an amenable number.

135105635114621 is a deficient number, since it is larger than the sum of its proper divisors (1).

135105635114621 is an equidigital number, since it uses as much as digits as its factorization.

135105635114621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 44.

The spelling of 135105635114621 in words is "one hundred thirty-five trillion, one hundred five billion, six hundred thirty-five million, one hundred fourteen thousand, six hundred twenty-one".