138195852480 has 1344 divisors, whose sum is σ = 602284800000. Its totient is φ = 28970016768.

The previous prime is 138195852463. The next prime is 138195852491. The reversal of 138195852480 is 84258591831.

138195852480 is a `hidden beast` number, since 1 + 3 + 8 + 19 + 585 + 2 + 48 + 0 = 666.

138195852480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 694451421 + ... + 694451619.

Almost surely, 2^138195852480 is an apocalyptic number.

138195852480 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 138195852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301142400000).

138195852480 is an abundant number, since it is smaller than the sum of its proper divisors (464088947520).

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

138195852480 is a wasteful number, since it uses less digits than its factorization.

138195852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 138195852480 in words is "one hundred thirty-eight billion, one hundred ninety-five million, eight hundred fifty-two thousand, four hundred eighty".