137837125 has 16 divisors (see below), whose sum is σ = 174850416. Its totient is φ = 108456000.

The previous prime is 137837101. The next prime is 137837143. The reversal of 137837125 is 521738731.

It can be written as a sum of positive squares in 8 ways, for example, as 43533604 + 94303521 = 6598^2 + 9711^2 .

It is not a de Polignac number, because 137837125 - 2⁷ = 137836997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1414 + ... + 16663.

It is an arithmetic number, because the mean of its divisors is an integer number (10928151).

Almost surely, 2^137837125 is an apocalyptic number.

It is an amenable number.

137837125 is a deficient number, since it is larger than the sum of its proper divisors (37013291).

137837125 is an equidigital number, since it uses as much as digits as its factorization.

137837125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18153 (or 18143 counting only the distinct ones).

The product of its digits is 35280, while the sum is 37.

The square root of 137837125 is about 11740.4056573868. The cubic root of 137837125 is about 516.5615406418.

It can be divided in two parts, 1378 and 37125, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 137837125 in words is "one hundred thirty-seven million, eight hundred thirty-seven thousand, one hundred twenty-five".