164136960 has 288 divisors, whose sum is σ = 617100120. Its totient is φ = 40108032.

The previous prime is 164136949. The next prime is 164136967. The reversal of 164136960 is 69631461.

164136960 is a `hidden beast` number, since 1 + 641 + 3 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109495296 + 54641664 = 10464^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164136967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198012 + ... + 1198148.

Almost surely, 2^164136960 is an apocalyptic number.

164136960 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 164136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308550060).

164136960 is an abundant number, since it is smaller than the sum of its proper divisors (452963160).

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

164136960 is a wasteful number, since it uses less digits than its factorization.

164136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 164136960 is about 12811.5947485081. The cubic root of 164136960 is about 547.5226987524.

The spelling of 164136960 in words is "one hundred sixty-four million, one hundred thirty-six thousand, nine hundred sixty".