137971705 has 16 divisors (see below), whose sum is σ = 175911120. Its totient is φ = 103686912.

The previous prime is 137971699. The next prime is 137971739. The reversal of 137971705 is 507179731.

It can be written as a sum of positive squares in 8 ways, for example, as 6456681 + 131515024 = 2541^2 + 11468^2 .

It is a cyclic number.

It is not a de Polignac number, because 137971705 - 2³ = 137971697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7494 + ... + 18223.

It is an arithmetic number, because the mean of its divisors is an integer number (10994445).

Almost surely, 2^137971705 is an apocalyptic number.

It is an amenable number.

137971705 is a deficient number, since it is larger than the sum of its proper divisors (37939415).

137971705 is a wasteful number, since it uses less digits than its factorization.

137971705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25788.

The product of its (nonzero) digits is 46305, while the sum is 40.

The square root of 137971705 is about 11746.1357475554. The cubic root of 137971705 is about 516.7296043112.

The spelling of 137971705 in words is "one hundred thirty-seven million, nine hundred seventy-one thousand, seven hundred five".