133020 has 36 divisors (see below), whose sum is σ = 404040. Its totient is φ = 35424.

The previous prime is 133013. The next prime is 133033. The reversal of 133020 is 20331.

133020 = 37² + 38² + ... + 76².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 132993 and 133011.

It is a congruent number.

It is an unprimeable number.

133020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190 + ... + 549.

2¹³³⁰²⁰ is an apocalyptic number.

133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133020 is an abundant number, since it is smaller than the sum of its proper divisors (271020).

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

133020 is a wasteful number, since it uses less digits than its factorization.

133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

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

The square root of 133020 is about 364.7190699703. The cubic root of 133020 is about 51.0472457227.

Adding to 133020 its reverse (20331), we get a palindrome (153351).

The spelling of 133020 in words is "one hundred thirty-three thousand, twenty".