133777884605121 has 27 divisors (see below), whose sum is σ = 205271007948201. Its totient is φ = 83938694730624.

The previous prime is 133777884605107. The next prime is 133777884605153. The reversal of 133777884605121 is 121506488777331.

The square root of 133777884605121 is 11566239.

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

133777884605121 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 7 + 7 + 8 + 8 + 4 + 605 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 706986680625 + 133070897924496 = 840825^2 + 11535636^2 .

It is not a de Polignac number, because 133777884605121 - 2¹⁹ = 133777884080833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133777884615121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 589764795 + ... + 589991583.

Almost surely, 2^{133777884605121} is an apocalyptic number.

133777884605121 is the 11566239-th square number.

133777884605121 is the 5783120-th centered octagonal number.

It is an amenable number.

133777884605121 is a deficient number, since it is larger than the sum of its proper divisors (71493123343080).

133777884605121 is an frugal number, since it uses more digits than its factorization.

133777884605121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453618 (or 226809 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 133777884605121 in words is "one hundred thirty-three trillion, seven hundred seventy-seven billion, eight hundred eighty-four million, six hundred five thousand, one hundred twenty-one".