138697455680 has 224 divisors, whose sum is σ = 401911718400. Its totient is φ = 45485045760.

The previous prime is 138697455679. The next prime is 138697455709. The reversal of 138697455680 is 86554796831.

138697455680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2497010 + ... + 2551950.

Almost surely, 2^138697455680 is an apocalyptic number.

138697455680 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 138697455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200955859200).

138697455680 is an abundant number, since it is smaller than the sum of its proper divisors (263214262720).

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

138697455680 is an equidigital number, since it uses as much as digits as its factorization.

138697455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55002 (or 54978 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 138697455680 in words is "one hundred thirty-eight billion, six hundred ninety-seven million, four hundred fifty-five thousand, six hundred eighty".