133257 has 8 divisors (see below), whose sum is σ = 181984. Its totient is φ = 86688.

The previous prime is 133253. The next prime is 133261. The reversal of 133257 is 752331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133253) and next prime (133261).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133257 - 2² = 133253 is a prime.

It is a d-powerful number, because it can be written as 1 + 3⁶ + 2¹³ + 3⁸ + 5³ + 7⁶ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133253) 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 7 ways as a sum of consecutive naturals, for example, 388 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (22748).

2¹³³²⁵⁷ is an apocalyptic number.

It is an amenable number.

133257 is a deficient number, since it is larger than the sum of its proper divisors (48727).

133257 is a wasteful number, since it uses less digits than its factorization.

133257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079.

The product of its digits is 630, while the sum is 21.

The square root of 133257 is about 365.0438329845. The cubic root of 133257 is about 51.0775444730.

Adding to 133257 its reverse (752331), we get a palindrome (885588).

The spelling of 133257 in words is "one hundred thirty-three thousand, two hundred fifty-seven".