127130041809 has 45 divisors (see below), whose sum is σ = 191852168673. Its totient is φ = 83895494688.

The previous prime is 127130041681. The next prime is 127130041817. The reversal of 127130041809 is 908140031721.

It is a happy number.

The square root of 127130041809 is 356553.

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

127130041809 is a `hidden beast` number, since 1 + 271 + 300 + 4 + 1 + 80 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90063011025 + 37067030784 = 300105^2 + 192528^2 .

It is not a de Polignac number, because 127130041809 - 2⁷ = 127130041681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127130041009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 555152907 + ... + 555153135.

Almost surely, 2^127130041809 is an apocalyptic number.

127130041809 is the 356553-rd square number.

127130041809 is the 178277-th centered octagonal number.

It is an amenable number.

127130041809 is a deficient number, since it is larger than the sum of its proper divisors (64722126864).

127130041809 is an frugal number, since it uses more digits than its factorization.

127130041809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 127130041809 by its sum of digits (36), we get a square (4576681505124 = 2139318²).

The spelling of 127130041809 in words is "one hundred twenty-seven billion, one hundred thirty million, forty-one thousand, eight hundred nine".