132635405121641 has 2 divisors, whose sum is σ = 132635405121642. Its totient is φ = 132635405121640.

The previous prime is 132635405121629. The next prime is 132635405121649. The reversal of 132635405121641 is 146121504536231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79344821120041 + 53290584001600 = 8907571^2 + 7300040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-132635405121641 is a prime.

It is a super-2 number, since 2×132635405121641² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132635405121592 and 132635405121601.

It is not a weakly prime, because it can be changed into another prime (132635405121649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66317702560820 + 66317702560821.

It is an arithmetic number, because the mean of its divisors is an integer number (66317702560821).

Almost surely, 2^{132635405121641} is an apocalyptic number.

It is an amenable number.

132635405121641 is a deficient number, since it is larger than the sum of its proper divisors (1).

132635405121641 is an equidigital number, since it uses as much as digits as its factorization.

132635405121641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 44.

Adding to 132635405121641 its reverse (146121504536231), we get a palindrome (278756909657872).

The spelling of 132635405121641 in words is "one hundred thirty-two trillion, six hundred thirty-five billion, four hundred five million, one hundred twenty-one thousand, six hundred forty-one".