138380280025 has 81 divisors (see below), whose sum is σ = 190977500151. Its totient is φ = 99420871680.

The previous prime is 138380280013. The next prime is 138380280029. The reversal of 138380280025 is 520082083831.

The square root of 138380280025 is 371995.

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

It can be written as a sum of positive squares in 13 ways, for example, as 132818700249 + 5561579776 = 364443^2 + 74576^2 .

It is not a de Polignac number, because 138380280025 - 2⁵ = 138380279993 is a prime.

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 138380280025.

It is not an unprimeable number, because it can be changed into a prime (138380280029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1426600777 + ... + 1426600873.

Almost surely, 2^138380280025 is an apocalyptic number.

138380280025 is the 371995-th square number.

138380280025 is the 185998-th centered octagonal number.

It is an amenable number.

138380280025 is a deficient number, since it is larger than the sum of its proper divisors (52597220126).

138380280025 is an frugal number, since it uses more digits than its factorization.

138380280025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 138380280025 in words is "one hundred thirty-eight billion, three hundred eighty million, two hundred eighty thousand, twenty-five".