164145345 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 67415040.

The previous prime is 164145343. The next prime is 164145379. The reversal of 164145345 is 543541461.

It is not a de Polignac number, because 164145345 - 2¹ = 164145343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164145343) 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 95 ways as a sum of consecutive naturals, for example, 391546 + ... + 391964.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^164145345 is an apocalyptic number.

164145345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164145345 is an abundant number, since it is smaller than the sum of its proper divisors (173695935).

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

164145345 is a wasteful number, since it uses less digits than its factorization.

164145345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 488 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 164145345 is about 12811.9219869620. The cubic root of 164145345 is about 547.5320220632.

The spelling of 164145345 in words is "one hundred sixty-four million, one hundred forty-five thousand, three hundred forty-five".