1685138175 has 288 divisors, whose sum is σ = 3964299840. Its totient is φ = 705438720.

The previous prime is 1685138167. The next prime is 1685138219. The reversal of 1685138175 is 5718315861.

1685138175 is a `hidden beast` number, since 1 + 68 + 513 + 8 + 1 + 75 = 666.

It is not a de Polignac number, because 1685138175 - 2³ = 1685138167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1685138175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45544257 + ... + 45544293.

It is an arithmetic number, because the mean of its divisors is an integer number (13764930).

Almost surely, 2^1685138175 is an apocalyptic number.

1685138175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1685138175 is an abundant number, since it is smaller than the sum of its proper divisors (2279161665).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1685138175 is an equidigital number, since it uses as much as digits as its factorization.

1685138175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 1685138175 is about 41050.4345287599. The cubic root of 1685138175 is about 1189.9950980190.

The spelling of 1685138175 in words is "one billion, six hundred eighty-five million, one hundred thirty-eight thousand, one hundred seventy-five".