133245 has 40 divisors (see below), whose sum is σ = 278784. Its totient is φ = 59616.

The previous prime is 133241. The next prime is 133253. The reversal of 133245 is 542331.

It is not a de Polignac number, because 133245 - 2² = 133241 is a prime.

It is a Curzon number.

133245 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2812 + ... + 2858.

133245 is a Friedman number, since it can be written as 423*315, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 315 ⋅ 423 (with its own digits).

2¹³³²⁴⁵ is an apocalyptic number.

133245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133245 is an abundant number, since it is smaller than the sum of its proper divisors (145539).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133245 is an equidigital number, since it uses as much as digits as its factorization.

133245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 62 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 133245 is about 365.0273962321. The cubic root of 133245 is about 51.0760112228.

Adding to 133245 its reverse (542331), we get a palindrome (675576).

It can be divided in two parts, 133 and 245, that added together give a triangular number (378 = T₂₇).

The spelling of 133245 in words is "one hundred thirty-three thousand, two hundred forty-five".