133540321 has 12 divisors (see below), whose sum is σ = 144959436. Its totient is φ = 122593280.

The previous prime is 133540307. The next prime is 133540333. The reversal of 133540321 is 123045331.

It can be written as a sum of positive squares in 6 ways, for example, as 2117025 + 131423296 = 1455^2 + 11464^2 .

It is not a de Polignac number, because 133540321 - 2¹⁷ = 133409249 is a prime.

It is a super-3 number, since 3×133540321³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133540292 and 133540301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133540361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26241 + ... + 30913.

It is an arithmetic number, because the mean of its divisors is an integer number (12079953).

Almost surely, 2^133540321 is an apocalyptic number.

It is an amenable number.

133540321 is a deficient number, since it is larger than the sum of its proper divisors (11419115).

133540321 is an equidigital number, since it uses as much as digits as its factorization.

133540321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 133540321 is about 11555.9647368794. The cubic root of 133540321 is about 511.1371792505.

Adding to 133540321 its reverse (123045331), we get a palindrome (256585652).

The spelling of 133540321 in words is "one hundred thirty-three million, five hundred forty thousand, three hundred twenty-one".