138204870336 has 1008 divisors, whose sum is σ = 488228700960. Its totient is φ = 37066014720.

The previous prime is 138204870319. The next prime is 138204870341. The reversal of 138204870336 is 633078402831.

138204870336 is a `hidden beast` number, since 1 + 38 + 204 + 87 + 0 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138204870291 and 138204870300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3214066731 + ... + 3214066773.

It is an arithmetic number, because the mean of its divisors is an integer number (484353870).

Almost surely, 2^138204870336 is an apocalyptic number.

138204870336 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 138204870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244114350480).

138204870336 is an abundant number, since it is smaller than the sum of its proper divisors (350023830624).

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

138204870336 is a wasteful number, since it uses less digits than its factorization.

138204870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 138204870336 in words is "one hundred thirty-eight billion, two hundred four million, eight hundred seventy thousand, three hundred thirty-six".