166135314409 has 9 divisors (see below), whose sum is σ = 170106723453. Its totient is φ = 162254583372.

The previous prime is 166135314379. The next prime is 166135314427. The reversal of 166135314409 is 904413531661.

The square root of 166135314409 is 407597.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 166135314409 - 2¹⁷ = 166135183337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166135314439) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17521932 + ... + 17531410.

Almost surely, 2^166135314409 is an apocalyptic number.

166135314409 is the 407597-th square number.

166135314409 is the 203799-th centered octagonal number.

It is an amenable number.

166135314409 is a deficient number, since it is larger than the sum of its proper divisors (3971409044).

166135314409 is an frugal number, since it uses more digits than its factorization.

166135314409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19044 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 166135314409 in words is "one hundred sixty-six billion, one hundred thirty-five million, three hundred fourteen thousand, four hundred nine".