138415225 has 27 divisors (see below), whose sum is σ = 186885639. Its totient is φ = 101649600.

The previous prime is 138415223. The next prime is 138415229. The reversal of 138415225 is 522514831.

The square root of 138415225 is 11765.

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 114639849 + 23775376 = 10707^2 + 4876^2 .

It is not a de Polignac number, because 138415225 - 2¹ = 138415223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138415223) 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, 764635 + ... + 764815.

Almost surely, 2^138415225 is an apocalyptic number.

138415225 is the 11765-th square number.

138415225 is the 5883-rd centered octagonal number.

It is an amenable number.

138415225 is a deficient number, since it is larger than the sum of its proper divisors (48470414).

138415225 is an equidigital number, since it uses as much as digits as its factorization.

138415225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The cubic root of 138415225 is about 517.2827002762.

The spelling of 138415225 in words is "one hundred thirty-eight million, four hundred fifteen thousand, two hundred twenty-five".