137684071 has 12 divisors (see below), whose sum is σ = 169585488. Its totient is φ = 111072192.

The previous prime is 137684047. The next prime is 137684093. The reversal of 137684071 is 170486731.

It is not a de Polignac number, because 137684071 - 2⁷ = 137683943 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137684071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137684171) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 81811 + ... + 83476.

It is an arithmetic number, because the mean of its divisors is an integer number (14132124).

Almost surely, 2^137684071 is an apocalyptic number.

137684071 is a deficient number, since it is larger than the sum of its proper divisors (31901417).

137684071 is a wasteful number, since it uses less digits than its factorization.

137684071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165318 (or 165311 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 137684071 is about 11733.8855883292. The cubic root of 137684071 is about 516.3702736145.

The spelling of 137684071 in words is "one hundred thirty-seven million, six hundred eighty-four thousand, seventy-one".