138193 has 8 divisors (see below), whose sum is σ = 159840. Its totient is φ = 118080.

The previous prime is 138191. The next prime is 138197. The reversal of 138193 is 391831.

138193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138193 - 2¹ = 138191 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 556.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2¹³⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

138193 is a deficient number, since it is larger than the sum of its proper divisors (21647).

138193 is a wasteful number, since it uses less digits than its factorization.

138193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767.

The product of its digits is 648, while the sum is 25.

The square root of 138193 is about 371.7431909262. The cubic root of 138193 is about 51.7005720337.

The spelling of 138193 in words is "one hundred thirty-eight thousand, one hundred ninety-three".