133641 has 12 divisors (see below), whose sum is σ = 199680. Its totient is φ = 86040.

The previous prime is 133633. The next prime is 133649. The reversal of 133641 is 146331.

It is an interprime number because it is at equal distance from previous prime (133633) and next prime (133649).

It is not a de Polignac number, because 133641 - 2³ = 133633 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (133649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (16640).

2¹³³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

133641 is a deficient number, since it is larger than the sum of its proper divisors (66039).

133641 is a wasteful number, since it uses less digits than its factorization.

133641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 133641 is about 365.5694188523. The cubic root of 133641 is about 51.1265599522.

Adding to 133641 its reverse (146331), we get a palindrome (279972).

The spelling of 133641 in words is "one hundred thirty-three thousand, six hundred forty-one".