164506500 has 144 divisors (see below), whose sum is σ = 524684160. Its totient is φ = 43387200.

The previous prime is 164506499. The next prime is 164506567. The reversal of 164506500 is 5605461.

It is a happy number.

164506500 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 0 + 650 + 0 = 666.

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, 625369 + ... + 625631.

It is an arithmetic number, because the mean of its divisors is an integer number (3643640).

Almost surely, 2^164506500 is an apocalyptic number.

164506500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262342080).

164506500 is an abundant number, since it is smaller than the sum of its proper divisors (360177660).

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

164506500 is a wasteful number, since it uses less digits than its factorization.

164506500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 164506500 is about 12826.0087322596. The cubic root of 164506500 is about 547.9332905814.

The spelling of 164506500 in words is "one hundred sixty-four million, five hundred six thousand, five hundred".