37128125 has 18 divisors (see below), whose sum is σ = 46836846. Its totient is φ = 29430000.

The previous prime is 37128079. The next prime is 37128137. The reversal of 37128125 is 52182173.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 35022724 + 2105401 = 5918^2 + 1451^2 .

It is not a de Polignac number, because 37128125 - 2¹² = 37124029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 340571 + ... + 340679.

It is an arithmetic number, because the mean of its divisors is an integer number (2602047).

Almost surely, 2^37128125 is an apocalyptic number.

It is an amenable number.

37128125 is a deficient number, since it is larger than the sum of its proper divisors (9708721).

37128125 is an frugal number, since it uses more digits than its factorization.

37128125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 114 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 37128125 is about 6093.2852386869. The cubic root of 37128125 is about 333.6063735083.

The spelling of 37128125 in words is "thirty-seven million, one hundred twenty-eight thousand, one hundred twenty-five".