137605225 has 48 divisors (see below), whose sum is σ = 189831600. Its totient is φ = 98508800.

The previous prime is 137605177. The next prime is 137605231. The reversal of 137605225 is 522506731.

It can be written as a sum of positive squares in 24 ways, for example, as 116186841 + 21418384 = 10779^2 + 4628^2 .

It is not a de Polignac number, because 137605225 - 2⁹ = 137604713 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 923451 + ... + 923599.

It is an arithmetic number, because the mean of its divisors is an integer number (3954825).

Almost surely, 2^137605225 is an apocalyptic number.

It is an amenable number.

137605225 is a deficient number, since it is larger than the sum of its proper divisors (52226375).

137605225 is a wasteful number, since it uses less digits than its factorization.

137605225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 137605225 is about 11730.5253505544. The cubic root of 137605225 is about 516.2716867931.

The spelling of 137605225 in words is "one hundred thirty-seven million, six hundred five thousand, two hundred twenty-five".