133953804009 has 27 divisors (see below), whose sum is σ = 204240238839. Its totient is φ = 84589226640.

The previous prime is 133953804001. The next prime is 133953804053. The reversal of 133953804009 is 900408359331.

The square root of 133953804009 is 365997.

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., 37095915609 + 96857888400 = 192603^2 + 311220^2 .

It is not a de Polignac number, because 133953804009 - 2³ = 133953804001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133953804001) 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, 20858619 + ... + 20865039.

Almost surely, 2^133953804009 is an apocalyptic number.

133953804009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

133953804009 is the 365997-th square number.

133953804009 is the 182999-th centered octagonal number.

It is an amenable number.

133953804009 is a deficient number, since it is larger than the sum of its proper divisors (70286434830).

133953804009 is an frugal number, since it uses more digits than its factorization.

133953804009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 133953804009 in words is "one hundred thirty-three billion, nine hundred fifty-three million, eight hundred four thousand, nine".