165185090 has 64 divisors (see below), whose sum is σ = 362962944. Its totient is φ = 52835328.

The previous prime is 165185077. The next prime is 165185093. The reversal of 165185090 is 90581561.

It is a super-2 number, since 2×165185090² = 54572227916616200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 165185090.

It is not an unprimeable number, because it can be changed into a prime (165185093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150584 + ... + 151676.

It is an arithmetic number, because the mean of its divisors is an integer number (5671296).

Almost surely, 2^165185090 is an apocalyptic number.

165185090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165185090 is an abundant number, since it is smaller than the sum of its proper divisors (197777854).

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

165185090 is a wasteful number, since it uses less digits than its factorization.

165185090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251.

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 165185090 is about 12852.4351778175. The cubic root of 165185090 is about 548.6856660483.

The spelling of 165185090 in words is "one hundred sixty-five million, one hundred eighty-five thousand, ninety".