133700 has 36 divisors (see below), whose sum is σ = 333312. Its totient is φ = 45600.

The previous prime is 133697. The next prime is 133709. The reversal of 133700 is 7331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

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 11 ways as a sum of consecutive naturals, for example, 605 + ... + 795.

2¹³³⁷⁰⁰ is an apocalyptic number.

133700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

133700 is an abundant number, since it is smaller than the sum of its proper divisors (199612).

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

133700 is a wasteful number, since it uses less digits than its factorization.

133700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 133700 is about 365.6501059756. The cubic root of 133700 is about 51.1340826517.

The spelling of 133700 in words is "one hundred thirty-three thousand, seven hundred".