164007152 has 20 divisors (see below), whose sum is σ = 318160440. Its totient is φ = 81901248.

The previous prime is 164007127. The next prime is 164007157. The reversal of 164007152 is 251700461.

It is a super-2 number, since 2×164007152² = 53796691814302208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164007157) 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 3 ways as a sum of consecutive naturals, for example, 7778 + ... + 19710.

It is an arithmetic number, because the mean of its divisors is an integer number (15908022).

Almost surely, 2^164007152 is an apocalyptic number.

It is an amenable number.

164007152 is a deficient number, since it is larger than the sum of its proper divisors (154153288).

164007152 is a wasteful number, since it uses less digits than its factorization.

164007152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12794 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 164007152 is about 12806.5277105076. The cubic root of 164007152 is about 547.3783242603.

The spelling of 164007152 in words is "one hundred sixty-four million, seven thousand, one hundred fifty-two".