164301124 has 81 divisors (see below), whose sum is σ = 342535557. Its totient is φ = 68909568.

The previous prime is 164301103. The next prime is 164301149. The reversal of 164301124 is 421103461.

The square root of 164301124 is 12818.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 93741124 + 70560000 = 9682^2 + 8400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164301095 and 164301104.

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 26 ways as a sum of consecutive naturals, for example, 5665542 + ... + 5665570.

Almost surely, 2^164301124 is an apocalyptic number.

164301124 is the 12818-th square number.

It is an amenable number.

164301124 is an abundant number, since it is smaller than the sum of its proper divisors (178234433).

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

164301124 is a wasteful number, since it uses less digits than its factorization.

164301124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 164301124 is about 547.7051755629.

Multiplying 164301124 by its product of nonzero digits (576), we get a square (94637447424 = 307632²).

Adding to 164301124 its reverse (421103461), we get a palindrome (585404585).

The spelling of 164301124 in words is "one hundred sixty-four million, three hundred one thousand, one hundred twenty-four".