138544750656 has 189 divisors, whose sum is σ = 430371236919. Its totient is φ = 42593421312.

The previous prime is 138544750651. The next prime is 138544750679. The reversal of 138544750656 is 656057445831.

It is a happy number.

The square root of 138544750656 is 372216.

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

138544750656 is a `hidden beast` number, since 1 + 3 + 85 + 4 + 4 + 7 + 506 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18773384256 + 119771366400 = 137016^2 + 346080^2 .

It is a super-3 number, since 3×138544750656³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138544750651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116130796 + ... + 116131988.

Almost surely, 2^138544750656 is an apocalyptic number.

138544750656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138544750656 is the 372216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138544750656

138544750656 is an abundant number, since it is smaller than the sum of its proper divisors (291826486263).

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

138544750656 is an equidigital number, since it uses as much as digits as its factorization.

138544750656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 138544750656 in words is "one hundred thirty-eight billion, five hundred forty-four million, seven hundred fifty thousand, six hundred fifty-six".