137513125 has 10 divisors (see below), whose sum is σ = 171837182. Its totient is φ = 110010000.

The previous prime is 137513087. The next prime is 137513141. The reversal of 137513125 is 521315731.

It can be written as a sum of positive squares in 5 ways, for example, as 35058241 + 102454884 = 5921^2 + 10122^2 .

It is not a de Polignac number, because 137513125 - 2⁷ = 137512997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137513093 and 137513102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 109386 + ... + 110635.

Almost surely, 2^137513125 is an apocalyptic number.

It is an amenable number.

137513125 is a deficient number, since it is larger than the sum of its proper divisors (34324057).

137513125 is an frugal number, since it uses more digits than its factorization.

137513125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220041 (or 220026 counting only the distinct ones).

The product of its digits is 3150, while the sum is 28.

The square root of 137513125 is about 11726.5990380843. The cubic root of 137513125 is about 516.1564798439.

Adding to 137513125 its reverse (521315731), we get a palindrome (658828856).

The spelling of 137513125 in words is "one hundred thirty-seven million, five hundred thirteen thousand, one hundred twenty-five".