133729 has 4 divisors (see below), whose sum is σ = 134676. Its totient is φ = 132784.

The previous prime is 133723. The next prime is 133733. The reversal of 133729 is 927331.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 70225 = 252^2 + 265^2 .

It is a cyclic number.

It is not a de Polignac number, because 133729 - 2⁵ = 133697 is a prime.

It is a d-powerful number, because it can be written as 1 + 3 + 7⁴ + 3⁵ + 2¹⁷ + 9 .

It is a Duffinian number.

133729 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (33669).

2¹³³⁷²⁹ is an apocalyptic number.

It is an amenable number.

133729 is a deficient number, since it is larger than the sum of its proper divisors (947).

133729 is an equidigital number, since it uses as much as digits as its factorization.

133729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946.

The product of its digits is 1134, while the sum is 25.

The square root of 133729 is about 365.6897592222. The cubic root of 133729 is about 51.1377794385.

The spelling of 133729 in words is "one hundred thirty-three thousand, seven hundred twenty-nine".