138084097344561 has 27 divisors (see below), whose sum is σ = 200298178430337. Its totient is φ = 91668449082240.

The previous prime is 138084097344503. The next prime is 138084097344569. The reversal of 138084097344561 is 165443790480831.

The square root of 138084097344561 is 11750919.

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

138084097344561 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 8 + 40 + 97 + 3 + 445 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27288347630625 + 110795749713936 = 5223825^2 + 10525956^2 .

It is not a de Polignac number, because 138084097344561 - 2¹⁵ = 138084097311793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138084097344569) 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, 8495906311 + ... + 8495922563.

Almost surely, 2^{138084097344561} is an apocalyptic number.

138084097344561 is the 11750919-th square number.

138084097344561 is the 5875460-th centered octagonal number.

It is an amenable number.

138084097344561 is a deficient number, since it is larger than the sum of its proper divisors (62214081085776).

138084097344561 is an frugal number, since it uses more digits than its factorization.

138084097344561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32994 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 138084097344561 in words is "one hundred thirty-eight trillion, eighty-four billion, ninety-seven million, three hundred forty-four thousand, five hundred sixty-one".