133002 has 20 divisors (see below), whose sum is σ = 298386. Its totient is φ = 44280.

The previous prime is 132989. The next prime is 133013. The reversal of 133002 is 200331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 9801 = 351^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

133002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 249 + ... + 572.

2¹³³⁰⁰² is an apocalyptic number.

133002 is an abundant number, since it is smaller than the sum of its proper divisors (165384).

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

133002 is an equidigital number, since it uses as much as digits as its factorization.

133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 133002 is about 364.6943926084. The cubic root of 133002 is about 51.0449430818.

Adding to 133002 its reverse (200331), we get a palindrome (333333).

The spelling of 133002 in words is "one hundred thirty-three thousand, two".