138200138757 has 12 divisors (see below), whose sum is σ = 200944427424. Its totient is φ = 91523269800.

The previous prime is 138200138743. The next prime is 138200138761. The reversal of 138200138757 is 757831002831.

138200138757 is a `hidden beast` number, since 13 + 8 + 200 + 1 + 387 + 57 = 666.

It is not a de Polignac number, because 138200138757 - 2⁶ = 138200138693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138200131757) 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, 50844903 + ... + 50847620.

It is an arithmetic number, because the mean of its divisors is an integer number (16745368952).

Almost surely, 2^138200138757 is an apocalyptic number.

It is an amenable number.

138200138757 is a deficient number, since it is larger than the sum of its proper divisors (62744288667).

138200138757 is a wasteful number, since it uses less digits than its factorization.

138200138757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101692680 (or 101692677 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 138200138757 in words is "one hundred thirty-eight billion, two hundred million, one hundred thirty-eight thousand, seven hundred fifty-seven".