137128325 has 12 divisors (see below), whose sum is σ = 171547428. Its totient is φ = 108729600.

The previous prime is 137128309. The next prime is 137128337. The reversal of 137128325 is 523821731.

It can be written as a sum of positive squares in 6 ways, for example, as 70526404 + 66601921 = 8398^2 + 8161^2 .

It is not a de Polignac number, because 137128325 - 2⁴ = 137128309 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137128291 and 137128300.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21446 + ... + 27095.

It is an arithmetic number, because the mean of its divisors is an integer number (14295619).

Almost surely, 2^137128325 is an apocalyptic number.

It is an amenable number.

137128325 is a deficient number, since it is larger than the sum of its proper divisors (34419103).

137128325 is a wasteful number, since it uses less digits than its factorization.

137128325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48664 (or 48659 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 137128325 is about 11710.1803999768. The cubic root of 137128325 is about 515.6745802340.

The spelling of 137128325 in words is "one hundred thirty-seven million, one hundred twenty-eight thousand, three hundred twenty-five".