138083085 has 48 divisors (see below), whose sum is σ = 274375296. Its totient is φ = 62930304.

The previous prime is 138083081. The next prime is 138083087. The reversal of 138083085 is 580380831.

It is a happy number.

It is not a de Polignac number, because 138083085 - 2² = 138083081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138083081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175062 + ... + 175848.

It is an arithmetic number, because the mean of its divisors is an integer number (5716152).

Almost surely, 2^138083085 is an apocalyptic number.

138083085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138083085 is a deficient number, since it is larger than the sum of its proper divisors (136292211).

138083085 is a wasteful number, since it uses less digits than its factorization.

138083085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138083085 is about 11750.8759247981. The cubic root of 138083085 is about 516.8686131592.

The spelling of 138083085 in words is "one hundred thirty-eight million, eighty-three thousand, eighty-five".