166158405 has 32 divisors (see below), whose sum is σ = 337593600. Its totient is φ = 75957696.

The previous prime is 166158383. The next prime is 166158413. The reversal of 166158405 is 504851661.

166158405 is a `hidden beast` number, since 16 + 61 + 584 + 0 + 5 = 666.

It is not a de Polignac number, because 166158405 - 2⁵ = 166158373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 166158405.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86970 + ... + 88859.

It is an arithmetic number, because the mean of its divisors is an integer number (10549800).

Almost surely, 2^166158405 is an apocalyptic number.

166158405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166158405 is an abundant number, since it is smaller than the sum of its proper divisors (171435195).

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

166158405 is a wasteful number, since it uses less digits than its factorization.

166158405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175850 (or 175844 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 166158405 is about 12890.2445671135. The cubic root of 166158405 is about 549.7612241771.

The spelling of 166158405 in words is "one hundred sixty-six million, one hundred fifty-eight thousand, four hundred five".