138847284576 has 1152 divisors, whose sum is σ = 575852239872. Its totient is φ = 30523392000.

The previous prime is 138847284539. The next prime is 138847284601. The reversal of 138847284576 is 675482748831.

It is a happy number.

138847284576 is a `hidden beast` number, since 1 + 3 + 88 + 472 + 84 + 5 + 7 + 6 = 666.

It is a super-3 number, since 3×138847284576³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 200936391 + ... + 200937081.

It is an arithmetic number, because the mean of its divisors is an integer number (499871736).

Almost surely, 2^138847284576 is an apocalyptic number.

138847284576 is a gapful number since it is divisible by the number (16) 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 138847284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287926119936).

138847284576 is an abundant number, since it is smaller than the sum of its proper divisors (437004955296).

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

138847284576 is a wasteful number, since it uses less digits than its factorization.

138847284576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 138847284576 in words is "one hundred thirty-eight billion, eight hundred forty-seven million, two hundred eighty-four thousand, five hundred seventy-six".