137685041 has 8 divisors (see below), whose sum is σ = 148557864. Its totient is φ = 126852480.

The previous prime is 137685017. The next prime is 137685109. The reversal of 137685041 is 140586731.

It can be written as a sum of positive squares in 4 ways, for example, as 23280625 + 114404416 = 4825^2 + 10696^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137685041 - 2¹⁰ = 137684017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137684992 and 137685010.

It is not an unprimeable number, because it can be changed into a prime (137685241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2756 + ... + 16821.

It is an arithmetic number, because the mean of its divisors is an integer number (18569733).

Almost surely, 2^137685041 is an apocalyptic number.

It is an amenable number.

137685041 is a deficient number, since it is larger than the sum of its proper divisors (10872823).

137685041 is a wasteful number, since it uses less digits than its factorization.

137685041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20131.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 137685041 is about 11733.9269215382. The cubic root of 137685041 is about 516.3714862408.

The spelling of 137685041 in words is "one hundred thirty-seven million, six hundred eighty-five thousand, forty-one".