138447952056960 has 2048 divisors, whose sum is σ = 568510296883200. Its totient is φ = 27881733095424.

The previous prime is 138447952056913. The next prime is 138447952057081. The reversal of 138447952056960 is 69650259744831.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88352234097 + ... + 88352235663.

It is an arithmetic number, because the mean of its divisors is an integer number (277592918400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅138447952056960 = 276895904113920, but 3⋅138447952056960 = 415343856170880 is not.

Almost surely, 2^{138447952056960} is an apocalyptic number.

138447952056960 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 138447952056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284255148441600).

138447952056960 is an abundant number, since it is smaller than the sum of its proper divisors (430062344826240).

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

138447952056960 is a wasteful number, since it uses less digits than its factorization.

138447952056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 69.

The spelling of 138447952056960 in words is "one hundred thirty-eight trillion, four hundred forty-seven billion, nine hundred fifty-two million, fifty-six thousand, nine hundred sixty".