133704 has 32 divisors (see below), whose sum is σ = 372000. Its totient is φ = 44496.

The previous prime is 133697. The next prime is 133709. The reversal of 133704 is 407331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133704.

It is not an unprimeable number, because it can be changed into a prime (133709) by changing a digit.

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, 94 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (11625).

2¹³³⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

133704 is an abundant number, since it is smaller than the sum of its proper divisors (238296).

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

133704 is a wasteful number, since it uses less digits than its factorization.

133704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 133704 is about 365.6555756446. The cubic root of 133704 is about 51.1345925851.

Adding to 133704 its product of nonzero digits (252), we get a square (133956 = 366²).

The spelling of 133704 in words is "one hundred thirty-three thousand, seven hundred four".