138033 has 18 divisors (see below), whose sum is σ = 232674. Its totient is φ = 78624.

The previous prime is 138007. The next prime is 138041. The reversal of 138033 is 330831.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 63504 = 273^2 + 252^2 .

It is not a de Polignac number, because 138033 - 2⁸ = 137777 is a prime.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 137997 and 138015.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138033.

It is not an unprimeable number, because it can be changed into a prime (138053) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 285 + ... + 597.

2¹³⁸⁰³³ is an apocalyptic number.

It is an amenable number.

138033 is a deficient number, since it is larger than the sum of its proper divisors (94641).

138033 is a wasteful number, since it uses less digits than its factorization.

138033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 138033 is about 371.5279262720. The cubic root of 138033 is about 51.6806113361.

Adding to 138033 its reverse (330831), we get a palindrome (468864).

The spelling of 138033 in words is "one hundred thirty-eight thousand, thirty-three".