164142330 has 128 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 36829440.

The previous prime is 164142317. The next prime is 164142343. The reversal of 164142330 is 33241461.

It is an interprime number because it is at equal distance from previous prime (164142317) and next prime (164142343).

It is a self number, because there is not a number n which added to its sum of digits gives 164142330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294412 + ... + 294968.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2^164142330 is an apocalyptic number.

164142330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

164142330 is an abundant number, since it is smaller than the sum of its proper divisors (298685190).

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

164142330 is a wasteful number, since it uses less digits than its factorization.

164142330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 164142330 is about 12811.8043225769. The cubic root of 164142330 is about 547.5286697107.

Adding to 164142330 its reverse (33241461), we get a palindrome (197383791).

The spelling of 164142330 in words is "one hundred sixty-four million, one hundred forty-two thousand, three hundred thirty".