138533 has 8 divisors (see below), whose sum is σ = 152280. Its totient is φ = 125440.

The previous prime is 138517. The next prime is 138547. The reversal of 138533 is 335831.

It can be written as a sum of positive squares in 4 ways, for example, as 49729 + 88804 = 223^2 + 298^2 .

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 138533 - 2⁴ = 138517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138499 and 138508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138563) 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, 353 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (19035).

2¹³⁸⁵³³ is an apocalyptic number.

It is an amenable number.

138533 is a deficient number, since it is larger than the sum of its proper divisors (13747).

138533 is a wasteful number, since it uses less digits than its factorization.

138533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its digits is 1080, while the sum is 23.

The square root of 138533 is about 372.2002149381. The cubic root of 138533 is about 51.7429374167.

The spelling of 138533 in words is "one hundred thirty-eight thousand, five hundred thirty-three".