164145510 has 96 divisors (see below), whose sum is σ = 449167680. Its totient is φ = 41529600.

The previous prime is 164145497. The next prime is 164145529. The reversal of 164145510 is 15541461.

164145510 is a `hidden beast` number, since 1 + 6 + 4 + 145 + 510 = 666.

164145510 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 158695 + ... + 159725.

It is an arithmetic number, because the mean of its divisors is an integer number (4678830).

Almost surely, 2^164145510 is an apocalyptic number.

164145510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164145510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224583840).

164145510 is an abundant number, since it is smaller than the sum of its proper divisors (285022170).

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

164145510 is a wasteful number, since it uses less digits than its factorization.

164145510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 164145510 is about 12811.9284262753. The cubic root of 164145510 is about 547.5322055241.

Adding to 164145510 its reverse (15541461), we get a palindrome (179686971).

The spelling of 164145510 in words is "one hundred sixty-four million, one hundred forty-five thousand, five hundred ten".