127837828667765 has 12 divisors (see below), whose sum is σ = 157238247811332. Its totient is φ = 99775866270720.

The previous prime is 127837828667749. The next prime is 127837828667779. The reversal of 127837828667765 is 567766828738721.

It can be written as a sum of positive squares in 6 ways, for example, as 71071745324836 + 56766083342929 = 8430406^2 + 7534327^2 .

It is not a de Polignac number, because 127837828667765 - 2⁴ = 127837828667749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 7604859452 + ... + 7604876261.

It is an arithmetic number, because the mean of its divisors is an integer number (13103187317611).

Almost surely, 2^{127837828667765} is an apocalyptic number.

It is an amenable number.

127837828667765 is a deficient number, since it is larger than the sum of its proper divisors (29400419143567).

127837828667765 is an equidigital number, since it uses as much as digits as its factorization.

127837828667765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15209735800 (or 15209735759 counting only the distinct ones).

The product of its digits is 15931883520, while the sum is 83.

The spelling of 127837828667765 in words is "one hundred twenty-seven trillion, eight hundred thirty-seven billion, eight hundred twenty-eight million, six hundred sixty-seven thousand, seven hundred sixty-five".