127144770670801 has 15 divisors (see below), whose sum is σ = 137741861697783. Its totient is φ = 117362644663680.

The previous prime is 127144770670787. The next prime is 127144770670807. The reversal of 127144770670801 is 108076077441721.

The square root of 127144770670801 is 11275849.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 126856272776401 + 288497894400 = 11263049^2 + 537120^2 .

It is not a de Polignac number, because 127144770670801 - 2⁵ = 127144770670769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127144770670807) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1905585121 + ... + 1905651841.

Almost surely, 2^{127144770670801} is an apocalyptic number.

127144770670801 is the 11275849-th square number.

127144770670801 is the 5637925-th centered octagonal number.

It is an amenable number.

127144770670801 is a deficient number, since it is larger than the sum of its proper divisors (10597091026982).

127144770670801 is an frugal number, since it uses more digits than its factorization.

127144770670801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133494 (or 66734 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 55.

The spelling of 127144770670801 in words is "one hundred twenty-seven trillion, one hundred forty-four billion, seven hundred seventy million, six hundred seventy thousand, eight hundred one".