133921598209 has 27 divisors (see below), whose sum is σ = 162925839363. Its totient is φ = 109750768512.

The previous prime is 133921598197. The next prime is 133921598227. The reversal of 133921598209 is 902895129331.

The square root of 133921598209 is 365953.

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

It can be written as a sum of positive squares in only one way, i.e., 119263169025 + 14658429184 = 345345^2 + 121072^2 .

It is not a de Polignac number, because 133921598209 - 2¹⁵ = 133921565441 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (133921598269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58917297 + ... + 58919569.

Almost surely, 2^133921598209 is an apocalyptic number.

133921598209 is the 365953-rd square number.

133921598209 is the 182977-th centered octagonal number.

It is an amenable number.

133921598209 is a deficient number, since it is larger than the sum of its proper divisors (29004241154).

133921598209 is an frugal number, since it uses more digits than its factorization.

133921598209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 133921598209 in words is "one hundred thirty-three billion, nine hundred twenty-one million, five hundred ninety-eight thousand, two hundred nine".