133461 has 8 divisors (see below), whose sum is σ = 197760. Its totient is φ = 88956.

The previous prime is 133451. The next prime is 133481. The reversal of 133461 is 164331.

It is not a de Polignac number, because 133461 - 2⁹ = 132949 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2445 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (24720).

2¹³³⁴⁶¹ is an apocalyptic number.

It is an amenable number.

133461 is a deficient number, since it is larger than the sum of its proper divisors (64299).

133461 is an equidigital number, since it uses as much as digits as its factorization.

133461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4946 counting only the distinct ones).

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

The square root of 133461 is about 365.3231446268. The cubic root of 133461 is about 51.1035956534.

Adding to 133461 its reverse (164331), we get a palindrome (297792).

The spelling of 133461 in words is "one hundred thirty-three thousand, four hundred sixty-one".