133937 has 4 divisors (see below), whose sum is σ = 134976. Its totient is φ = 132900.

The previous prime is 133919. The next prime is 133949. The reversal of 133937 is 739331.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 133937 - 2⁶ = 133873 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133937.

It is not an unprimeable number, because it can be changed into a prime (133967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 293 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (33744).

2¹³³⁹³⁷ is an apocalyptic number.

It is an amenable number.

133937 is a deficient number, since it is larger than the sum of its proper divisors (1039).

133937 is an equidigital number, since it uses as much as digits as its factorization.

133937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038.

The product of its digits is 1701, while the sum is 26.

The square root of 133937 is about 365.9740427954. The cubic root of 133937 is about 51.1642786725.

The spelling of 133937 in words is "one hundred thirty-three thousand, nine hundred thirty-seven".