138224086225 has 9 divisors (see below), whose sum is σ = 171400172017. Its totient is φ = 110577781840.

The previous prime is 138224086207. The next prime is 138224086243. The reversal of 138224086225 is 522680422831.

The square root of 138224086225 is 371785.

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

It is an interprime number because it is at equal distance from previous prime (138224086207) and next prime (138224086243).

It can be written as a sum of positive squares in 4 ways, for example, as 56464690129 + 81759396096 = 237623^2 + 285936^2 .

It is not a de Polignac number, because 138224086225 - 2⁵ = 138224086193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1821747 + ... + 1896103.

Almost surely, 2^138224086225 is an apocalyptic number.

138224086225 is the 371785-th square number.

138224086225 is the 185893-rd centered octagonal number.

It is an amenable number.

138224086225 is a deficient number, since it is larger than the sum of its proper divisors (33176085792).

138224086225 is an frugal number, since it uses more digits than its factorization.

138224086225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148724 (or 74362 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 138224086225 in words is "one hundred thirty-eight billion, two hundred twenty-four million, eighty-six thousand, two hundred twenty-five".