137225 has 12 divisors (see below), whose sum is σ = 186000. Its totient is φ = 99600.

The previous prime is 137219. The next prime is 137239. The reversal of 137225 is 522731.

It is not a de Polignac number, because 137225 - 2⁴ = 137209 is a prime.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 137197 and 137206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (15500).

2¹³⁷²²⁵ is an apocalyptic number.

It is an amenable number.

137225 is a deficient number, since it is larger than the sum of its proper divisors (48775).

137225 is a wasteful number, since it uses less digits than its factorization.

137225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 137225 is about 370.4389288398. The cubic root of 137225 is about 51.5795734706.

Adding to 137225 its reverse (522731), we get a palindrome (659956).

The spelling of 137225 in words is "one hundred thirty-seven thousand, two hundred twenty-five".