138218792985 has 256 divisors, whose sum is σ = 319484928000. Its totient is φ = 55057812480.

The previous prime is 138218792983. The next prime is 138218793019. The reversal of 138218792985 is 589297812831.

138218792985 is a `hidden beast` number, since 1 + 382 + 1 + 87 + 92 + 98 + 5 = 666.

It is not a de Polignac number, because 138218792985 - 2¹ = 138218792983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138218792983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77259471 + ... + 77261259.

It is an arithmetic number, because the mean of its divisors is an integer number (1247988000).

Almost surely, 2^138218792985 is an apocalyptic number.

138218792985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138218792985 is an abundant number, since it is smaller than the sum of its proper divisors (181266135015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138218792985 is a wasteful number, since it uses less digits than its factorization.

138218792985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2167 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 138218792985 in words is "one hundred thirty-eight billion, two hundred eighteen million, seven hundred ninety-two thousand, nine hundred eighty-five".