138986000064 has 336 divisors, whose sum is σ = 432933725952. Its totient is φ = 44125627392.

The previous prime is 138986000009. The next prime is 138986000077. The reversal of 138986000064 is 460000689831.

138986000064 is a `hidden beast` number, since 1 + 38 + 9 + 8 + 600 + 0 + 0 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138985999983 and 138986000019.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101227282 + ... + 101228654.

It is an arithmetic number, because the mean of its divisors is an integer number (1288493232).

Almost surely, 2^138986000064 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 138986000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216466862976).

138986000064 is an abundant number, since it is smaller than the sum of its proper divisors (293947725888).

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

138986000064 is a wasteful number, since it uses less digits than its factorization.

138986000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

Adding to 138986000064 its reverse (460000689831), we get a palindrome (598986689895).

The spelling of 138986000064 in words is "one hundred thirty-eight billion, nine hundred eighty-six million, sixty-four", and thus it is an aban number.