138446503056 has 135 divisors (see below), whose sum is σ = 392610970713. Its totient is φ = 45543081600.

The previous prime is 138446503033. The next prime is 138446503073. The reversal of 138446503056 is 650305644831.

The square root of 138446503056 is 372084.

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

138446503056 is a `hidden beast` number, since 13 + 84 + 4 + 6 + 503 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133017760656 + 5428742400 = 364716^2 + 73680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 450965655 + ... + 450965961.

Almost surely, 2^138446503056 is an apocalyptic number.

138446503056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138446503056 is the 372084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138446503056

138446503056 is an abundant number, since it is smaller than the sum of its proper divisors (254164467657).

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

138446503056 is an equidigital number, since it uses as much as digits as its factorization.

138446503056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 138446503056 in words is "one hundred thirty-eight billion, four hundred forty-six million, five hundred three thousand, fifty-six".