138925416529 has 9 divisors (see below), whose sum is σ = 139701629403. Its totient is φ = 138153498912.

The previous prime is 138925416527. The next prime is 138925416587. The reversal of 138925416529 is 925614529831.

The square root of 138925416529 is 372727.

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., 3683883025 + 135241533504 = 60695^2 + 367752^2 .

It is not a de Polignac number, because 138925416529 - 2¹ = 138925416527 is a prime.

It is a super-2 number, since 2×138925416529² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138925416529.

It is not an unprimeable number, because it can be changed into a prime (138925416527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74171737 + ... + 74173609.

It is an arithmetic number, because the mean of its divisors is an integer number (15522403267).

Almost surely, 2^138925416529 is an apocalyptic number.

138925416529 is the 372727-th square number.

138925416529 is the 186364-th centered octagonal number.

It is an amenable number.

138925416529 is a deficient number, since it is larger than the sum of its proper divisors (776212874).

138925416529 is an frugal number, since it uses more digits than its factorization.

138925416529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 2072 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 55.

The spelling of 138925416529 in words is "one hundred thirty-eight billion, nine hundred twenty-five million, four hundred sixteen thousand, five hundred twenty-nine".