164132280 has 192 divisors, whose sum is σ = 608549760. Its totient is φ = 38006784.

The previous prime is 164132261. The next prime is 164132299. The reversal of 164132280 is 82231461.

164132280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164132261) and next prime (164132299).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78529 + ... + 80591.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 2^164132280 is an apocalyptic number.

164132280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164132280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304274880).

164132280 is an abundant number, since it is smaller than the sum of its proper divisors (444417480).

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

164132280 is a wasteful number, since it uses less digits than its factorization.

164132280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164132280 is about 12811.4121001551. The cubic root of 164132280 is about 547.5174949060.

The spelling of 164132280 in words is "one hundred sixty-four million, one hundred thirty-two thousand, two hundred eighty".