133176 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 42720.

The previous prime is 133169. The next prime is 133183. The reversal of 133176 is 671331.

It is an interprime number because it is at equal distance from previous prime (133169) and next prime (133183).

It is a congruent number.

It is an unprimeable number.

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, 655 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹³³¹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

133176 is an abundant number, since it is smaller than the sum of its proper divisors (212424).

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

133176 is a wasteful number, since it uses less digits than its factorization.

133176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 133176 is about 364.9328705392. The cubic root of 133176 is about 51.0671932477.

The spelling of 133176 in words is "one hundred thirty-three thousand, one hundred seventy-six".