138345960130560 has 2304 divisors, whose sum is σ = 617719614220800. Its totient is φ = 29111480745984.

The previous prime is 138345960130531. The next prime is 138345960130583. The reversal of 138345960130560 is 65031069543831.

138345960130560 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 4 + 5 + 9 + 60 + 13 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138345960130497 and 138345960130506.

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 191 ways as a sum of consecutive naturals, for example, 85769348314 + ... + 85769349926.

It is an arithmetic number, because the mean of its divisors is an integer number (268107471450).

Almost surely, 2^{138345960130560} is an apocalyptic number.

138345960130560 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 138345960130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308859807110400).

138345960130560 is an abundant number, since it is smaller than the sum of its proper divisors (479373654090240).

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

138345960130560 is a wasteful number, since it uses less digits than its factorization.

138345960130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 138345960130560 in words is "one hundred thirty-eight trillion, three hundred forty-five billion, nine hundred sixty million, one hundred thirty thousand, five hundred sixty".