138225 has 24 divisors (see below), whose sum is σ = 243040. Its totient is φ = 69120.

The previous prime is 138209. The next prime is 138239. The reversal of 138225 is 522831.

138225 = T₁₁₁ + T₁₁₂ + ... + T₁₂₉.

It is not a de Polignac number, because 138225 - 2⁴ = 138209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377 + ... + 1473.

2¹³⁸²²⁵ is an apocalyptic number.

138225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138225 is a deficient number, since it is larger than the sum of its proper divisors (104815).

138225 is a wasteful number, since it uses less digits than its factorization.

138225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 138225 is about 371.7862289004. The cubic root of 138225 is about 51.7045623241.

It can be divided in two parts, 138 and 225, that added together give a palindrome (363).

The spelling of 138225 in words is "one hundred thirty-eight thousand, two hundred twenty-five".