133457 has 4 divisors (see below), whose sum is σ = 134196. Its totient is φ = 132720.

The previous prime is 133451. The next prime is 133481. The reversal of 133457 is 754331.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 754331 = 23 ⋅32797.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 130321 = 56^2 + 361^2 .

It is a cyclic number.

It is not a de Polignac number, because 133457 - 2⁸ = 133201 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (33549).

2¹³³⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

133457 is a deficient number, since it is larger than the sum of its proper divisors (739).

133457 is an equidigital number, since it uses as much as digits as its factorization.

133457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738.

The product of its digits is 1260, while the sum is 23.

The square root of 133457 is about 365.3176699805. The cubic root of 133457 is about 51.1030851011.

Adding to 133457 its reverse (754331), we get a palindrome (887788).

The spelling of 133457 in words is "one hundred thirty-three thousand, four hundred fifty-seven".