138706229376 has 768 divisors, whose sum is σ = 489947028480. Its totient is φ = 37092556800.

The previous prime is 138706229369. The next prime is 138706229411. The reversal of 138706229376 is 673922607831.

138706229376 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 0 + 622 + 9 + 3 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 801770026 + ... + 801770198.

It is an arithmetic number, because the mean of its divisors is an integer number (637951860).

Almost surely, 2^138706229376 is an apocalyptic number.

138706229376 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 138706229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244973514240).

138706229376 is an abundant number, since it is smaller than the sum of its proper divisors (351240799104).

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

138706229376 is a wasteful number, since it uses less digits than its factorization.

138706229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 138706229376 in words is "one hundred thirty-eight billion, seven hundred six million, two hundred twenty-nine thousand, three hundred seventy-six".