164314752 has 64 divisors (see below), whose sum is σ = 498820800. Its totient is φ = 46946304.

The previous prime is 164314747. The next prime is 164314763. The reversal of 164314752 is 257413461.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 27877 + ... + 33252.

It is an arithmetic number, because the mean of its divisors is an integer number (7794075).

Almost surely, 2^164314752 is an apocalyptic number.

164314752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164314752 is an abundant number, since it is smaller than the sum of its proper divisors (334506048).

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

164314752 is an equidigital number, since it uses as much as digits as its factorization.

164314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61153 (or 61141 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 164314752 is about 12818.5315851700. The cubic root of 164314752 is about 547.7203183276.

The spelling of 164314752 in words is "one hundred sixty-four million, three hundred fourteen thousand, seven hundred fifty-two".