138611568580128 has 576 divisors, whose sum is σ = 496414311015168. Its totient is φ = 37140982824960.

The previous prime is 138611568580073. The next prime is 138611568580159. The reversal of 138611568580128 is 821085865116831.

138611568580128 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 1 + 1 + 568 + 58 + 0 + 12 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259755126 + ... + 260288202.

It is an arithmetic number, because the mean of its divisors is an integer number (861830401068).

Almost surely, 2^{138611568580128} is an apocalyptic number.

138611568580128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138611568580128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248207155507584).

138611568580128 is an abundant number, since it is smaller than the sum of its proper divisors (357802742435040).

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

138611568580128 is a wasteful number, since it uses less digits than its factorization.

138611568580128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533407 (or 533387 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 138611568580128 in words is "one hundred thirty-eight trillion, six hundred eleven billion, five hundred sixty-eight million, five hundred eighty thousand, one hundred twenty-eight".