164013120 has 224 divisors, whose sum is σ = 593994240. Its totient is φ = 42577920.

The previous prime is 164013103. The next prime is 164013133. The reversal of 164013120 is 21310461.

It is a happy number.

164013120 is a `hidden beast` number, since 1 + 640 + 1 + 3 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 164013093 and 164013102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354009 + ... + 354471.

It is an arithmetic number, because the mean of its divisors is an integer number (2651760).

Almost surely, 2^164013120 is an apocalyptic number.

164013120 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 164013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296997120).

164013120 is an abundant number, since it is smaller than the sum of its proper divisors (429981120).

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

164013120 is a wasteful number, since it uses less digits than its factorization.

164013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164013120 is about 12806.7607145601. The cubic root of 164013120 is about 547.3849636338.

Adding to 164013120 its reverse (21310461), we get a palindrome (185323581).

The spelling of 164013120 in words is "one hundred sixty-four million, thirteen thousand, one hundred twenty".