138693 has 8 divisors (see below), whose sum is σ = 187488. Its totient is φ = 91184.

The previous prime is 138683. The next prime is 138727. The reversal of 138693 is 396831.

138693 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 138693 - 2⁵ = 138661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138683) 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, 30 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2¹³⁸⁶⁹³ is an apocalyptic number.

It is an amenable number.

138693 is a deficient number, since it is larger than the sum of its proper divisors (48795).

138693 is an equidigital number, since it uses as much as digits as its factorization.

138693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its digits is 3888, while the sum is 30.

The square root of 138693 is about 372.4150909939. The cubic root of 138693 is about 51.7628500844.

The spelling of 138693 in words is "one hundred thirty-eight thousand, six hundred ninety-three".