138066301056 has 256 divisors, whose sum is σ = 390461385600. Its totient is φ = 43104337920.

The previous prime is 138066301039. The next prime is 138066301127. The reversal of 138066301056 is 650103660831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409692120 + ... + 409692456.

Almost surely, 2^138066301056 is an apocalyptic number.

138066301056 is a gapful number since it is divisible by the number (16) 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 138066301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195230692800).

138066301056 is an abundant number, since it is smaller than the sum of its proper divisors (252395084544).

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

138066301056 is a wasteful number, since it uses less digits than its factorization.

138066301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 138066301056 its reverse (650103660831), we get a palindrome (788169961887).

The spelling of 138066301056 in words is "one hundred thirty-eight billion, sixty-six million, three hundred one thousand, fifty-six".