138722201856 has 540 divisors, whose sum is σ = 483825101760. Its totient is φ = 39417477120.

The previous prime is 138722201851. The next prime is 138722201867. The reversal of 138722201856 is 658102227831.

It is not an unprimeable number, because it can be changed into a prime (138722201851) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 315995685 + ... + 315996123.

Almost surely, 2^138722201856 is an apocalyptic number.

138722201856 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 138722201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241912550880).

138722201856 is an abundant number, since it is smaller than the sum of its proper divisors (345102899904).

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

138722201856 is an equidigital number, since it uses as much as digits as its factorization.

138722201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 138722201856 in words is "one hundred thirty-eight billion, seven hundred twenty-two million, two hundred one thousand, eight hundred fifty-six".