133136 has 20 divisors (see below), whose sum is σ = 264492. Its totient is φ = 64896.

The previous prime is 133121. The next prime is 133153. The reversal of 133136 is 631331.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 65536 = 260^2 + 256^2 .

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770 + ... + 926.

2¹³³¹³⁶ is an apocalyptic number.

133136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133136 is a deficient number, since it is larger than the sum of its proper divisors (131356).

133136 is a wasteful number, since it uses less digits than its factorization.

133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 162, while the sum is 17.

The square root of 133136 is about 364.8780618234. The cubic root of 133136 is about 51.0620799834.

Adding to 133136 its reverse (631331), we get a palindrome (764467).

The spelling of 133136 in words is "one hundred thirty-three thousand, one hundred thirty-six".