138693677056 has 195 divisors, whose sum is σ = 318716831083. Its totient is φ = 60301598720.

The previous prime is 138693677039. The next prime is 138693677107. The reversal of 138693677056 is 650776396831.

The square root of 138693677056 is 372416.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138693676985 and 138693677003.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6030159861 + ... + 6030159883.

Almost surely, 2^138693677056 is an apocalyptic number.

138693677056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138693677056 is the 372416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138693677056

138693677056 is an abundant number, since it is smaller than the sum of its proper divisors (180023154027).

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

138693677056 is an frugal number, since it uses more digits than its factorization.

138693677056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 138693677056 in words is "one hundred thirty-eight billion, six hundred ninety-three million, six hundred seventy-seven thousand, fifty-six".