138576763081 has 9 divisors (see below), whose sum is σ = 139377606823. Its totient is φ = 137780501080.

The previous prime is 138576763037. The next prime is 138576763109. The reversal of 138576763081 is 180367675831.

The square root of 138576763081 is 372259.

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

It can be written as a sum of positive squares in only one way, i.e., 111595415481 + 26981347600 = 334059^2 + 164260^2 .

It is not a de Polignac number, because 138576763081 - 2¹¹ = 138576761033 is a prime.

It is a super-2 number, since 2×138576763081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138576763681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71100495 + ... + 71102443.

Almost surely, 2^138576763081 is an apocalyptic number.

138576763081 is the 372259-th square number.

138576763081 is the 186130-th centered octagonal number.

It is an amenable number.

138576763081 is a deficient number, since it is larger than the sum of its proper divisors (800843742).

138576763081 is an frugal number, since it uses more digits than its factorization.

138576763081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 138576763081 in words is "one hundred thirty-eight billion, five hundred seventy-six million, seven hundred sixty-three thousand, eighty-one".