164646132 has 48 divisors (see below), whose sum is σ = 440119680. Its totient is φ = 46927872.

The previous prime is 164646103. The next prime is 164646149. The reversal of 164646132 is 231646461.

It is a super-2 number, since 2×164646132² = 54216697565122848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164646093 and 164646102.

It is a congruent number.

It is an unprimeable number.

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, 36244 + ... + 40532.

It is an arithmetic number, because the mean of its divisors is an integer number (9169160).

Almost surely, 2^164646132 is an apocalyptic number.

164646132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164646132 is an abundant number, since it is smaller than the sum of its proper divisors (275473548).

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

164646132 is a wasteful number, since it uses less digits than its factorization.

164646132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4758 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 164646132 is about 12831.4508922413. The cubic root of 164646132 is about 548.0882740920.

The spelling of 164646132 in words is "one hundred sixty-four million, six hundred forty-six thousand, one hundred thirty-two".