164144307 has 16 divisors (see below), whose sum is σ = 228844800. Its totient is φ = 104456352.

The previous prime is 164144297. The next prime is 164144311. The reversal of 164144307 is 703441461.

It is not a de Polignac number, because 164144307 - 2⁶ = 164144243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164144317) 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 15 ways as a sum of consecutive naturals, for example, 35569 + ... + 39917.

It is an arithmetic number, because the mean of its divisors is an integer number (14302800).

Almost surely, 2^164144307 is an apocalyptic number.

164144307 is a deficient number, since it is larger than the sum of its proper divisors (64700493).

164144307 is a wasteful number, since it uses less digits than its factorization.

164144307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 164144307 is about 12811.8814777534. The cubic root of 164144307 is about 547.5308679246.

Adding to 164144307 its reverse (703441461), we get a palindrome (867585768).

It can be divided in two parts, 164144 and 307, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 164144307 in words is "one hundred sixty-four million, one hundred forty-four thousand, three hundred seven".