138959670528 has 648 divisors, whose sum is σ = 486622176768. Its totient is φ = 38778974208.

The previous prime is 138959670517. The next prime is 138959670559. The reversal of 138959670528 is 825076959831.

138959670528 is a `hidden beast` number, since 1 + 38 + 9 + 5 + 9 + 6 + 70 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 623137425 + ... + 623137647.

Almost surely, 2^138959670528 is an apocalyptic number.

138959670528 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 138959670528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243311088384).

138959670528 is an abundant number, since it is smaller than the sum of its proper divisors (347662506240).

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

138959670528 is an frugal number, since it uses more digits than its factorization.

138959670528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 138959670528 in words is "one hundred thirty-eight billion, nine hundred fifty-nine million, six hundred seventy thousand, five hundred twenty-eight".