138099570336 has 288 divisors, whose sum is σ = 484200557568. Its totient is φ = 36357672960.

The previous prime is 138099570313. The next prime is 138099570347. The reversal of 138099570336 is 633075990831.

138099570336 is a `hidden beast` number, since 1 + 38 + 0 + 9 + 9 + 570 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×138099570336² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 15903916 + ... + 15912596.

It is an arithmetic number, because the mean of its divisors is an integer number (1681251936).

Almost surely, 2^138099570336 is an apocalyptic number.

138099570336 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 138099570336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242100278784).

138099570336 is an abundant number, since it is smaller than the sum of its proper divisors (346100987232).

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

138099570336 is a wasteful number, since it uses less digits than its factorization.

138099570336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 138099570336 in words is "one hundred thirty-eight billion, ninety-nine million, five hundred seventy thousand, three hundred thirty-six".