137505625 has 10 divisors (see below), whose sum is σ = 171827810. Its totient is φ = 110004000.

The previous prime is 137505601. The next prime is 137505631. The reversal of 137505625 is 526505731.

It can be written as a sum of positive squares in 5 ways, for example, as 73633561 + 63872064 = 8581^2 + 7992^2 .

It is not a de Polignac number, because 137505625 - 2⁷ = 137505497 is a prime.

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, 109380 + ... + 110629.

It is an arithmetic number, because the mean of its divisors is an integer number (17182781).

Almost surely, 2^137505625 is an apocalyptic number.

It is an amenable number.

137505625 is a deficient number, since it is larger than the sum of its proper divisors (34322185).

137505625 is an frugal number, since it uses more digits than its factorization.

137505625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220029 (or 220014 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 137505625 is about 11726.2792479115. The cubic root of 137505625 is about 516.1470959057.

The spelling of 137505625 in words is "one hundred thirty-seven million, five hundred five thousand, six hundred twenty-five".