147100771837361 has 2 divisors, whose sum is σ = 147100771837362. Its totient is φ = 147100771837360.

The previous prime is 147100771837337. The next prime is 147100771837433. The reversal of 147100771837361 is 163738177001741.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118182663304225 + 28918108533136 = 10871185^2 + 5377556^2 .

It is a cyclic number.

It is not a de Polignac number, because 147100771837361 - 2³⁴ = 147083591968177 is a prime.

It is a super-2 number, since 2×147100771837361² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 147100771837297 and 147100771837306.

It is not a weakly prime, because it can be changed into another prime (147100771837301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73550385918680 + 73550385918681.

It is an arithmetic number, because the mean of its divisors is an integer number (73550385918681).

Almost surely, 2^{147100771837361} is an apocalyptic number.

It is an amenable number.

147100771837361 is a deficient number, since it is larger than the sum of its proper divisors (1).

147100771837361 is an equidigital number, since it uses as much as digits as its factorization.

147100771837361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4148928, while the sum is 56.

The spelling of 147100771837361 in words is "one hundred forty-seven trillion, one hundred billion, seven hundred seventy-one million, eight hundred thirty-seven thousand, three hundred sixty-one".