139943959672608 has 2304 divisors, whose sum is σ = 539681174323200. Its totient is φ = 34930817187840.

The previous prime is 139943959672607. The next prime is 139943959672609. The reversal of 139943959672608 is 806276959349931.

139943959672608 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 439 + 59 + 6 + 72 + 60 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (139943959672607) and next prime (139943959672609).

It is not an unprimeable number, because it can be changed into a prime (139943959672607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 134691009753 + ... + 134691010791.

It is an arithmetic number, because the mean of its divisors is an integer number (234236620800).

It is a 1-persistent number, because it is pandigital, but 2⋅139943959672608 = 279887919345216 is not.

Almost surely, 2^{139943959672608} is an apocalyptic number.

139943959672608 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 139943959672608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269840587161600).

139943959672608 is an abundant number, since it is smaller than the sum of its proper divisors (399737214650592).

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

139943959672608 is a wasteful number, since it uses less digits than its factorization.

139943959672608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 139943959672608 in words is "one hundred thirty-nine trillion, nine hundred forty-three billion, nine hundred fifty-nine million, six hundred seventy-two thousand, six hundred eight".