138332007 has 24 divisors (see below), whose sum is σ = 220975248. Its totient is φ = 82684800.

The previous prime is 138331997. The next prime is 138332023. The reversal of 138332007 is 700233831.

It is not a de Polignac number, because 138332007 - 2¹⁴ = 138315623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138332107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2344 + ... + 16797.

It is an arithmetic number, because the mean of its divisors is an integer number (9207302).

Almost surely, 2^138332007 is an apocalyptic number.

138332007 is a deficient number, since it is larger than the sum of its proper divisors (82643241).

138332007 is a wasteful number, since it uses less digits than its factorization.

138332007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19231 (or 19228 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 138332007 is about 11761.4627916769. The cubic root of 138332007 is about 517.1790125940.

Adding to 138332007 its reverse (700233831), we get a palindrome (838565838).

The spelling of 138332007 in words is "one hundred thirty-eight million, three hundred thirty-two thousand, seven".