164124160 has 80 divisors (see below), whose sum is σ = 400344912. Its totient is φ = 64512000.

The previous prime is 164124151. The next prime is 164124187. The reversal of 164124160 is 61421461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155635 + ... + 156685.

Almost surely, 2^164124160 is an apocalyptic number.

164124160 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 164124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200172456).

164124160 is an abundant number, since it is smaller than the sum of its proper divisors (236220752).

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

164124160 is an equidigital number, since it uses as much as digits as its factorization.

164124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 164124160 is about 12811.0951912785. The cubic root of 164124160 is about 547.5084657754.

The spelling of 164124160 in words is "one hundred sixty-four million, one hundred twenty-four thousand, one hundred sixty".