138133009 has 27 divisors (see below), whose sum is σ = 170307963. Its totient is φ = 111700512.

The previous prime is 138132979. The next prime is 138133013. The reversal of 138133009 is 900331831.

The square root of 138133009 is 11753.

It is a perfect power (a square), and thus also a powerful number.

138133009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 78411025 + 59721984 = 8855^2 + 7728^2 .

It is not a de Polignac number, because 138133009 - 2¹³ = 138124817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138133019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1892197 + ... + 1892269.

Almost surely, 2^138133009 is an apocalyptic number.

138133009 is the 11753-rd square number.

138133009 is the 5877-th centered octagonal number.

It is an amenable number.

138133009 is a deficient number, since it is larger than the sum of its proper divisors (32174954).

138133009 is an frugal number, since it uses more digits than its factorization.

138133009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The cubic root of 138133009 is about 516.9308970115.

The spelling of 138133009 in words is "one hundred thirty-eight million, one hundred thirty-three thousand, nine".