138312206305641 has 27 divisors (see below), whose sum is σ = 199994842601463. Its totient is φ = 92111065371360.

The previous prime is 138312206305597. The next prime is 138312206305661. The reversal of 138312206305641 is 146503602213831.

The square root of 138312206305641 is 11760621.

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

138312206305641 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 1 + 2 + 2 + 0 + 630 + 5 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59210393339241 + 79101812966400 = 7694829^2 + 8893920^2 .

It is not a de Polignac number, because 138312206305641 - 2²⁷ = 138312072087913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138312206305661) 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, 52252437780 + ... + 52252440426.

Almost surely, 2^{138312206305641} is an apocalyptic number.

138312206305641 is the 11760621-st square number.

138312206305641 is the 5880311-st centered octagonal number.

It is an amenable number.

138312206305641 is a deficient number, since it is larger than the sum of its proper divisors (61682636295822).

138312206305641 is an frugal number, since it uses more digits than its factorization.

138312206305641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 138312206305641 in words is "one hundred thirty-eight trillion, three hundred twelve billion, two hundred six million, three hundred five thousand, six hundred forty-one".