127126820152809 has 9 divisors (see below), whose sum is σ = 183627677968189. Its totient is φ = 84751190885100.

The previous prime is 127126820152763. The next prime is 127126820152837. The reversal of 127126820152809 is 908251028621721.

It is a happy number.

The square root of 127126820152809 is 11275053.

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

127126820152809 is a `hidden beast` number, since 1 + 2 + 71 + 26 + 8 + 20 + 1 + 528 + 0 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-127126820152809 is a prime.

It is a super-3 number, since 3×127126820152809³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127126820152889) 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, 31945984 + ... + 35704334.

Almost surely, 2^{127126820152809} is an apocalyptic number.

127126820152809 is the 11275053-rd square number.

127126820152809 is the 5637527-th centered octagonal number.

It is an amenable number.

127126820152809 is a deficient number, since it is larger than the sum of its proper divisors (56500857815380).

127126820152809 is an frugal number, since it uses more digits than its factorization.

127126820152809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516708 (or 3758354 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 127126820152809 in words is "one hundred twenty-seven trillion, one hundred twenty-six billion, eight hundred twenty million, one hundred fifty-two thousand, eight hundred nine".