138964057605120 has 352 divisors, whose sum is σ = 494022619728000. Its totient is φ = 33052626780160.

The previous prime is 138964057605097. The next prime is 138964057605169. The reversal of 138964057605120 is 21506750469831.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×138964057605120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195756 + ... + 16714004.

It is an arithmetic number, because the mean of its divisors is an integer number (1403473351500).

It is a 1-persistent number, because it is pandigital, but 2⋅138964057605120 = 277928115210240 is not.

Almost surely, 2^{138964057605120} is an apocalyptic number.

138964057605120 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 138964057605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247011309864000).

138964057605120 is an abundant number, since it is smaller than the sum of its proper divisors (355058562122880).

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

138964057605120 is a wasteful number, since it uses less digits than its factorization.

138964057605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15518341 (or 15518323 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 138964057605120 in words is "one hundred thirty-eight trillion, nine hundred sixty-four billion, fifty-seven million, six hundred five thousand, one hundred twenty".