133035 has 24 divisors (see below), whose sum is σ = 248976. Its totient is φ = 60480.

The previous prime is 133033. The next prime is 133039. The reversal of 133035 is 530331.

133035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133035 - 2¹ = 133033 is a prime.

It is a super-2 number, since 2×133035² = 35396622450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (133033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2¹³³⁰³⁵ is an apocalyptic number.

133035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133035 is a deficient number, since it is larger than the sum of its proper divisors (115941).

133035 is a wasteful number, since it uses less digits than its factorization.

133035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 133035 is about 364.7396331632. The cubic root of 133035 is about 51.0491644314.

Adding to 133035 its reverse (530331), we get a palindrome (663366).

The spelling of 133035 in words is "one hundred thirty-three thousand, thirty-five".