138854006784 has 320 divisors, whose sum is σ = 436374972000. Its totient is φ = 43486543872.

The previous prime is 138854006749. The next prime is 138854006833. The reversal of 138854006784 is 487600458831.

138854006784 is a `hidden beast` number, since 1 + 38 + 8 + 540 + 0 + 67 + 8 + 4 = 666.

It is a super-2 number, since 2×138854006784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 138854006784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240647904 + ... + 240648480.

Almost surely, 2^138854006784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138854006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218187486000).

138854006784 is an abundant number, since it is smaller than the sum of its proper divisors (297520965216).

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

138854006784 is an frugal number, since it uses more digits than its factorization.

138854006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 138854006784 in words is "one hundred thirty-eight billion, eight hundred fifty-four million, six thousand, seven hundred eighty-four".