133742 has 16 divisors (see below), whose sum is σ = 235872. Its totient is φ = 55680.

The previous prime is 133733. The next prime is 133769. The reversal of 133742 is 247331.

It is a d-powerful number, because it can be written as 1 + 3² + 7⁴ + 3⁵ + 4² + 2¹⁷ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133742.

It is an unprimeable number.

133742 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 7 ways as a sum of consecutive naturals, for example, 458 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2¹³³⁷⁴² is an apocalyptic number.

133742 is a deficient number, since it is larger than the sum of its proper divisors (102130).

133742 is a wasteful number, since it uses less digits than its factorization.

133742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283.

The product of its digits is 504, while the sum is 20.

The square root of 133742 is about 365.7075334198. The cubic root of 133742 is about 51.1394364454.

The spelling of 133742 in words is "one hundred thirty-three thousand, seven hundred forty-two".