1680138175 has 24 divisors (see below), whose sum is σ = 2208886400. Its totient is φ = 1264157280.

The previous prime is 1680138151. The next prime is 1680138179. The reversal of 1680138175 is 5718310861.

It is not a de Polignac number, because 1680138175 - 2²¹ = 1678041023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680138179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53302 + ... + 78748.

Almost surely, 2^1680138175 is an apocalyptic number.

1680138175 is a deficient number, since it is larger than the sum of its proper divisors (528748225).

1680138175 is a wasteful number, since it uses less digits than its factorization.

1680138175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25615 (or 25610 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 1680138175 is about 40989.4885915889. The cubic root of 1680138175 is about 1188.8169809852.

The spelling of 1680138175 in words is "one billion, six hundred eighty million, one hundred thirty-eight thousand, one hundred seventy-five".