164304153 has 64 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 94167360.

The previous prime is 164304139. The next prime is 164304193. The reversal of 164304153 is 351403461.

164304153 is a `hidden beast` number, since 1 + 643 + 0 + 4 + 15 + 3 = 666.

It is not a de Polignac number, because 164304153 - 2⁴ = 164304137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164304103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473326 + ... + 473672.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 2^164304153 is an apocalyptic number.

164304153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164304153 is a deficient number, since it is larger than the sum of its proper divisors (116323047).

164304153 is a wasteful number, since it uses less digits than its factorization.

164304153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164304153 is about 12818.1181536137. The cubic root of 164304153 is about 547.7085413114.

The spelling of 164304153 in words is "one hundred sixty-four million, three hundred four thousand, one hundred fifty-three".