138444615530001 has 189 divisors, whose sum is σ = 230490561221697. Its totient is φ = 83056539741120.

The previous prime is 138444615529999. The next prime is 138444615530003. The reversal of 138444615530001 is 100035516444831.

It is a happy number.

The square root of 138444615530001 is 11766249.

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

138444615530001 is a `hidden beast` number, since 1 + 38 + 4 + 4 + 4 + 61 + 553 + 0 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (138444615529999) and next prime (138444615530003).

It can be written as a sum of positive squares in 4 ways, for example, as 98078619006225 + 40365996523776 = 9903465^2 + 6353424^2 .

It is not a de Polignac number, because 138444615530001 - 2¹ = 138444615529999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138444615530003) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 604561639755 + ... + 604561639983.

Almost surely, 2^{138444615530001} is an apocalyptic number.

138444615530001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138444615530001 is the 11766249-th square number.

138444615530001 is the 5883125-th centered octagonal number.

It is an amenable number.

138444615530001 is a deficient number, since it is larger than the sum of its proper divisors (92045945691696).

138444615530001 is an frugal number, since it uses more digits than its factorization.

138444615530001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 138444615530001 in words is "one hundred thirty-eight trillion, four hundred forty-four billion, six hundred fifteen million, five hundred thirty thousand, one".