164241252 has 144 divisors (see below), whose sum is σ = 507386880. Its totient is φ = 43775424.

The previous prime is 164241241. The next prime is 164241257. The reversal of 164241252 is 252142461.

164241252 is a `hidden beast` number, since 1 + 642 + 4 + 12 + 5 + 2 = 666.

164241252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164241257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248899 + ... + 249557.

It is an arithmetic number, because the mean of its divisors is an integer number (3523520).

Almost surely, 2^164241252 is an apocalyptic number.

164241252 is a gapful number since it is divisible by the number (12) 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 164241252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253693440).

164241252 is an abundant number, since it is smaller than the sum of its proper divisors (343145628).

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

164241252 is a wasteful number, since it uses less digits than its factorization.

164241252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 737 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 164241252 is about 12815.6643214466. The cubic root of 164241252 is about 547.6386388133.

The spelling of 164241252 in words is "one hundred sixty-four million, two hundred forty-one thousand, two hundred fifty-two".