137008225 has 24 divisors (see below), whose sum is σ = 176959160. Its totient is φ = 105131520.

The previous prime is 137008169. The next prime is 137008229. The reversal of 137008225 is 522800731.

It can be written as a sum of positive squares in 12 ways, for example, as 772641 + 136235584 = 879^2 + 11672^2 .

It is not a de Polignac number, because 137008225 - 2⁷ = 137008097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137008193 and 137008202.

It is not an unprimeable number, because it can be changed into a prime (137008229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66511 + ... + 68539.

Almost surely, 2^137008225 is an apocalyptic number.

It is an amenable number.

137008225 is a deficient number, since it is larger than the sum of its proper divisors (39950935).

137008225 is a wasteful number, since it uses less digits than its factorization.

137008225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 137008225 is about 11705.0512600330. The cubic root of 137008225 is about 515.5239898861.

Adding to 137008225 its reverse (522800731), we get a palindrome (659808956).

The spelling of 137008225 in words is "one hundred thirty-seven million, eight thousand, two hundred twenty-five".