138205377 has 12 divisors (see below), whose sum is σ = 199769700. Its totient is φ = 92072448.

The previous prime is 138205357. The next prime is 138205421. The reversal of 138205377 is 773502831.

It can be written as a sum of positive squares in 2 ways, for example, as 125417601 + 12787776 = 11199^2 + 3576^2 .

It is not a de Polignac number, because 138205377 - 2⁶ = 138205313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138205357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10749 + ... + 19797.

It is an arithmetic number, because the mean of its divisors is an integer number (16647475).

Almost surely, 2^138205377 is an apocalyptic number.

It is an amenable number.

138205377 is a deficient number, since it is larger than the sum of its proper divisors (61564323).

138205377 is a wasteful number, since it uses less digits than its factorization.

138205377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 138205377 is about 11756.0783001816. The cubic root of 138205377 is about 517.0211547624.

The spelling of 138205377 in words is "one hundred thirty-eight million, two hundred five thousand, three hundred seventy-seven".