138058286976 has 160 divisors (see below), whose sum is σ = 414498664800. Its totient is φ = 45611790336.

The previous prime is 138058286959. The next prime is 138058286983. The reversal of 138058286976 is 679682850831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1112665 + ... + 1230503.

It is an arithmetic number, because the mean of its divisors is an integer number (2590616655).

Almost surely, 2^138058286976 is an apocalyptic number.

138058286976 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 138058286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207249332400).

138058286976 is an abundant number, since it is smaller than the sum of its proper divisors (276440377824).

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

138058286976 is a wasteful number, since it uses less digits than its factorization.

138058286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117978 (or 117957 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 138058286976 in words is "one hundred thirty-eight billion, fifty-eight million, two hundred eighty-six thousand, nine hundred seventy-six".