138063521761 has 27 divisors (see below), whose sum is σ = 161288860467. Its totient is φ = 118069765440.

The previous prime is 138063521719. The next prime is 138063521819. The reversal of 138063521761 is 167125360831.

The square root of 138063521761 is 371569.

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., 107488901025 + 30574620736 = 327855^2 + 174856^2 .

It is not a de Polignac number, because 138063521761 - 2¹⁹ = 138062997473 is a prime.

It is a super-2 number, since 2×138063521761² (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 (138063521711) 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, 69482410 + ... + 69484396.

Almost surely, 2^138063521761 is an apocalyptic number.

138063521761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138063521761 is the 371569-th square number.

138063521761 is the 185785-th centered octagonal number.

It is an amenable number.

138063521761 is a deficient number, since it is larger than the sum of its proper divisors (23225338706).

138063521761 is an frugal number, since it uses more digits than its factorization.

138063521761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 138063521761 in words is "one hundred thirty-eight billion, sixty-three million, five hundred twenty-one thousand, seven hundred sixty-one".