138729 has 8 divisors (see below), whose sum is σ = 186912. Its totient is φ = 91520.

The previous prime is 138727. The next prime is 138731. The reversal of 138729 is 927831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138727) and next prime (138731).

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 138729 - 2¹ = 138727 is a prime.

138729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 138696 and 138705.

It is not an unprimeable number, because it can be changed into a prime (138727) 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, 217 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (23364).

2¹³⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

138729 is a deficient number, since it is larger than the sum of its proper divisors (48183).

138729 is a wasteful number, since it uses less digits than its factorization.

138729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487.

The product of its digits is 3024, while the sum is 30.

The square root of 138729 is about 372.4634210228. The cubic root of 138729 is about 51.7673283238.

The spelling of 138729 in words is "one hundred thirty-eight thousand, seven hundred twenty-nine".