138329 has 8 divisors (see below), whose sum is σ = 149760. Its totient is φ = 127296.

The previous prime is 138323. The next prime is 138337. The reversal of 138329 is 923831.

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

It is a de Polignac number, because none of the positive numbers 2^k-138329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138298 and 138307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138329.

It is not an unprimeable number, because it can be changed into a prime (138323) 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, 1292 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2¹³⁸³²⁹ is an apocalyptic number.

It is an amenable number.

138329 is a deficient number, since it is larger than the sum of its proper divisors (11431).

138329 is a wasteful number, since it uses less digits than its factorization.

138329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its digits is 1296, while the sum is 26.

The square root of 138329 is about 371.9260679221. The cubic root of 138329 is about 51.7175265164.

The spelling of 138329 in words is "one hundred thirty-eight thousand, three hundred twenty-nine".