133205125 has 16 divisors (see below), whose sum is σ = 166853232. Its totient is φ = 106171200.

The previous prime is 133205117. The next prime is 133205129. The reversal of 133205125 is 521502331.

It can be written as a sum of positive squares in 8 ways, for example, as 47568609 + 85636516 = 6897^2 + 9254^2 .

It is not a de Polignac number, because 133205125 - 2³ = 133205117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133205096 and 133205105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133205129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34807 + ... + 38443.

It is an arithmetic number, because the mean of its divisors is an integer number (10428327).

Almost surely, 2^133205125 is an apocalyptic number.

It is an amenable number.

133205125 is a deficient number, since it is larger than the sum of its proper divisors (33648107).

133205125 is an equidigital number, since it uses as much as digits as its factorization.

133205125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 133205125 is about 11541.4524649197. The cubic root of 133205125 is about 510.7091569919.

Adding to 133205125 its reverse (521502331), we get a palindrome (654707456).

The spelling of 133205125 in words is "one hundred thirty-three million, two hundred five thousand, one hundred twenty-five".