133825 has 12 divisors (see below), whose sum is σ = 170748. Its totient is φ = 104000.

The previous prime is 133813. The next prime is 133831. The reversal of 133825 is 528331.

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 124609 = 96^2 + 353^2 .

It is not a de Polignac number, because 133825 - 2⁷ = 133697 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 133796 and 133805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275 + ... + 1375.

It is an arithmetic number, because the mean of its divisors is an integer number (14229).

2¹³³⁸²⁵ is an apocalyptic number.

It is an amenable number.

133825 is a deficient number, since it is larger than the sum of its proper divisors (36923).

133825 is a wasteful number, since it uses less digits than its factorization.

133825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 133825 is about 365.8209944768. The cubic root of 133825 is about 51.1500132661.

The spelling of 133825 in words is "one hundred thirty-three thousand, eight hundred twenty-five".