138280727558637 has 12 divisors (see below), whose sum is σ = 199766854441440. Its totient is φ = 92174216746248.

The previous prime is 138280727558593. The next prime is 138280727558639. The reversal of 138280727558637 is 736855727082831.

138280727558637 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 8 + 0 + 7 + 2 + 7 + 5 + 586 + 37 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-138280727558637 is a prime.

It is a super-2 number, since 2×138280727558637² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138280727558639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077845587 + ... + 1077973872.

It is an arithmetic number, because the mean of its divisors is an integer number (16647237870120).

Almost surely, 2^{138280727558637} is an apocalyptic number.

It is an amenable number.

138280727558637 is a deficient number, since it is larger than the sum of its proper divisors (61486126882803).

138280727558637 is a wasteful number, since it uses less digits than its factorization.

138280727558637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155826592 (or 2155826589 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 138280727558637 in words is "one hundred thirty-eight trillion, two hundred eighty billion, seven hundred twenty-seven million, five hundred fifty-eight thousand, six hundred thirty-seven".