138529 has 8 divisors (see below), whose sum is σ = 152640. Its totient is φ = 125136.

The previous prime is 138517. The next prime is 138547. The reversal of 138529 is 925831.

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 138529 - 2⁵ = 138497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138497 and 138506.

It is not an unprimeable number, because it can be changed into a prime (138559) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 279 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2¹³⁸⁵²⁹ is an apocalyptic number.

138529 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

138529 is a deficient number, since it is larger than the sum of its proper divisors (14111).

138529 is a wasteful number, since it uses less digits than its factorization.

138529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its digits is 2160, while the sum is 28.

The square root of 138529 is about 372.1948414473. The cubic root of 138529 is about 51.7424394036.

It can be divided in two parts, 13852 and 9, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 138529 in words is "one hundred thirty-eight thousand, five hundred twenty-nine".