138227060521 has 27 divisors (see below), whose sum is σ = 154378778967. Its totient is φ = 123671892960.

The previous prime is 138227060507. The next prime is 138227060539. The reversal of 138227060521 is 125060722831.

The square root of 138227060521 is 371789.

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

138227060521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 78464413225 + 59762647296 = 280115^2 + 244464^2 .

It is not a de Polignac number, because 138227060521 - 2⁹ = 138227060009 is a prime.

It is a super-3 number, since 3×138227060521³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138227060501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298546336 + ... + 298546798.

Almost surely, 2^138227060521 is an apocalyptic number.

138227060521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138227060521 is the 371789-th square number.

138227060521 is the 185895-th centered octagonal number.

It is an amenable number.

138227060521 is a deficient number, since it is larger than the sum of its proper divisors (16151718446).

138227060521 is an frugal number, since it uses more digits than its factorization.

138227060521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 138227060521 in words is "one hundred thirty-eight billion, two hundred twenty-seven million, sixty thousand, five hundred twenty-one".