164132 has 12 divisors (see below), whose sum is σ = 295260. Its totient is φ = 79776.

The previous prime is 164117. The next prime is 164147. The reversal of 164132 is 231461.

It is an interprime number because it is at equal distance from previous prime (164117) and next prime (164147).

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 98596 = 256^2 + 314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164132.

It is an unprimeable number.

164132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (24605).

2¹⁶⁴¹³² is an apocalyptic number.

It is an amenable number.

164132 is a deficient number, since it is larger than the sum of its proper divisors (131128).

164132 is a wasteful number, since it uses less digits than its factorization.

164132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1148 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 164132 is about 405.1320772291. The cubic root of 164132 is about 54.7517183562.

Adding to 164132 its reverse (231461), we get a palindrome (395593).

The spelling of 164132 in words is "one hundred sixty-four thousand, one hundred thirty-two".