138379000320 has 1600 divisors, whose sum is σ = 593207746560. Its totient is φ = 30457036800.

The previous prime is 138379000241. The next prime is 138379000363. The reversal of 138379000320 is 23000973831.

It is a happy number.

It is a super-3 number, since 3×138379000320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 1343485389 + ... + 1343485491.

Almost surely, 2^138379000320 is an apocalyptic number.

138379000320 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 138379000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296603873280).

138379000320 is an abundant number, since it is smaller than the sum of its proper divisors (454828746240).

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

138379000320 is a wasteful number, since it uses less digits than its factorization.

138379000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 138379000320 in words is "one hundred thirty-eight billion, three hundred seventy-nine million, three hundred twenty", and thus it is an aban number.