137710225 has 9 divisors (see below), whose sum is σ = 170833467. Its totient is φ = 110121240.

The previous prime is 137710207. The next prime is 137710229. The reversal of 137710225 is 522017731.

The square root of 137710225 is 11735.

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

It can be written as a sum of positive squares in only one way, i.e., 49575681 + 88134544 = 7041^2 + 9388^2 .

It is not a de Polignac number, because 137710225 - 2⁹ = 137709713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137710193 and 137710202.

It is not an unprimeable number, because it can be changed into a prime (137710229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57502 + ... + 59848.

Almost surely, 2^137710225 is an apocalyptic number.

137710225 is the 11735-th square number.

137710225 is the 5868-th centered octagonal number.

It is an amenable number.

137710225 is a deficient number, since it is larger than the sum of its proper divisors (33123242).

137710225 is an frugal number, since it uses more digits than its factorization.

137710225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The cubic root of 137710225 is about 516.4029675274.

Adding to 137710225 its reverse (522017731), we get a palindrome (659727956).

The spelling of 137710225 in words is "one hundred thirty-seven million, seven hundred ten thousand, two hundred twenty-five".