133126 has 16 divisors (see below), whose sum is σ = 235296. Its totient is φ = 55296.

The previous prime is 133121. The next prime is 133153. The reversal of 133126 is 621331.

It is a d-powerful number, because it can be written as 1 + 3³ + 1 + 3⁶ + 2¹⁷ + 6⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390 + ... + 646.

It is an arithmetic number, because the mean of its divisors is an integer number (14706).

2¹³³¹²⁶ is an apocalyptic number.

133126 is a deficient number, since it is larger than the sum of its proper divisors (102170).

133126 is a wasteful number, since it uses less digits than its factorization.

133126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303.

The product of its digits is 108, while the sum is 16.

The square root of 133126 is about 364.8643583580. The cubic root of 133126 is about 51.0608015073.

Adding to 133126 its reverse (621331), we get a palindrome (754457).

The spelling of 133126 in words is "one hundred thirty-three thousand, one hundred twenty-six".