127461138289 has 9 divisors (see below), whose sum is σ = 135406341921. Its totient is φ = 119957712000.

The previous prime is 127461138281. The next prime is 127461138377. The reversal of 127461138289 is 982831164721.

The square root of 127461138289 is 357017.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6426225 + 127454712064 = 2535^2 + 357008^2 .

It is not a de Polignac number, because 127461138289 - 2³ = 127461138281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127461138281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6058789 + ... + 6079789.

Almost surely, 2^127461138289 is an apocalyptic number.

127461138289 is the 357017-th square number.

127461138289 is the 178509-th centered octagonal number.

It is an amenable number.

127461138289 is a deficient number, since it is larger than the sum of its proper divisors (7945203632).

127461138289 is an frugal number, since it uses more digits than its factorization.

127461138289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42036 (or 21018 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 52.

The spelling of 127461138289 in words is "one hundred twenty-seven billion, four hundred sixty-one million, one hundred thirty-eight thousand, two hundred eighty-nine".