138152810666880 has 256 divisors, whose sum is σ = 489342754612800. Its totient is φ = 36836868096000.

The previous prime is 138152810666831. The next prime is 138152810666891. The reversal of 138152810666880 is 88666018251831.

138152810666880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165488920 + ... + 166321640.

Almost surely, 2^{138152810666880} is an apocalyptic number.

138152810666880 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 138152810666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244671377306400).

138152810666880 is an abundant number, since it is smaller than the sum of its proper divisors (351189943945920).

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

138152810666880 is an equidigital number, since it uses as much as digits as its factorization.

138152810666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842350 (or 842332 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 138152810666880 in words is "one hundred thirty-eight trillion, one hundred fifty-two billion, eight hundred ten million, six hundred sixty-six thousand, eight hundred eighty".