137300225 has 24 divisors (see below), whose sum is σ = 180143232. Its totient is φ = 103593600.

The previous prime is 137300221. The next prime is 137300227. The reversal of 137300225 is 522003731.

It is not a de Polignac number, because 137300225 - 2² = 137300221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137300225.

It is not an unprimeable number, because it can be changed into a prime (137300221) 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, 40340 + ... + 43610.

It is an arithmetic number, because the mean of its divisors is an integer number (7505968).

Almost surely, 2^137300225 is an apocalyptic number.

It is an amenable number.

137300225 is a deficient number, since it is larger than the sum of its proper divisors (42843007).

137300225 is a wasteful number, since it uses less digits than its factorization.

137300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 137300225 is about 11717.5178685590. The cubic root of 137300225 is about 515.8899683760.

Adding to 137300225 its reverse (522003731), we get a palindrome (659303956).

The spelling of 137300225 in words is "one hundred thirty-seven million, three hundred thousand, two hundred twenty-five".