138725309605680 has 2880 divisors, whose sum is σ = 589851911061504. Its totient is φ = 29668401100800.

The previous prime is 138725309605651. The next prime is 138725309605697. The reversal of 138725309605680 is 86506903527831.

138725309605680 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 2 + 5 + 3 + 0 + 9 + 60 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 622086590049 + ... + 622086590271.

Almost surely, 2^{138725309605680} is an apocalyptic number.

138725309605680 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 138725309605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294925955530752).

138725309605680 is an abundant number, since it is smaller than the sum of its proper divisors (451126601455824).

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

138725309605680 is a wasteful number, since it uses less digits than its factorization.

138725309605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 138725309605680 in words is "one hundred thirty-eight trillion, seven hundred twenty-five billion, three hundred nine million, six hundred five thousand, six hundred eighty".