164501120 has 128 divisors (see below), whose sum is σ = 456503040. Its totient is φ = 55517184.

The previous prime is 164501111. The next prime is 164501131. The reversal of 164501120 is 21105461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 164501092 and 164501101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 326789 + ... + 327291.

It is an arithmetic number, because the mean of its divisors is an integer number (3566430).

Almost surely, 2^164501120 is an apocalyptic number.

164501120 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 164501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228251520).

164501120 is an abundant number, since it is smaller than the sum of its proper divisors (292001920).

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

164501120 is an equidigital number, since it uses as much as digits as its factorization.

164501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 164501120 is about 12825.7990004522. The cubic root of 164501120 is about 547.9273173357.

Adding to 164501120 its reverse (21105461), we get a palindrome (185606581).

The spelling of 164501120 in words is "one hundred sixty-four million, five hundred one thousand, one hundred twenty".