133938 has 24 divisors (see below), whose sum is σ = 331968. Its totient is φ = 38232.

The previous prime is 133919. The next prime is 133949. The reversal of 133938 is 839331.

133938 = 57² + 58² + ... + 83².

It is a Curzon number.

It is an unprimeable number.

133938 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 406 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2¹³³⁹³⁸ is an apocalyptic number.

133938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

133938 is an abundant number, since it is smaller than the sum of its proper divisors (198030).

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

133938 is a wasteful number, since it uses less digits than its factorization.

133938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1075 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 133938 is about 365.9754090099. The cubic root of 133938 is about 51.1644060064.

The spelling of 133938 in words is "one hundred thirty-three thousand, nine hundred thirty-eight".