138982361890680 has 960 divisors, whose sum is σ = 589402144235520. Its totient is φ = 28752100692480.

The previous prime is 138982361890643. The next prime is 138982361890693. The reversal of 138982361890680 is 86098163289831.

138982361890680 is a `hidden beast` number, since 1 + 38 + 9 + 82 + 361 + 89 + 0 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 138982361890599 and 138982361890608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 622840009 + ... + 623063111.

It is an arithmetic number, because the mean of its divisors is an integer number (613960566912).

Almost surely, 2^{138982361890680} is an apocalyptic number.

138982361890680 is a gapful number since it is divisible by the number (10) 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 138982361890680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294701072117760).

138982361890680 is an abundant number, since it is smaller than the sum of its proper divisors (450419782344840).

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

138982361890680 is a wasteful number, since it uses less digits than its factorization.

138982361890680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223382 (or 223358 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 138982361890680 in words is "one hundred thirty-eight trillion, nine hundred eighty-two billion, three hundred sixty-one million, eight hundred ninety thousand, six hundred eighty".