164131410 has 64 divisors (see below), whose sum is σ = 402361344. Its totient is φ = 42840000.

The previous prime is 164131403. The next prime is 164131423. The reversal of 164131410 is 14131461.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534477 + ... + 534783.

It is an arithmetic number, because the mean of its divisors is an integer number (6286896).

Almost surely, 2^164131410 is an apocalyptic number.

164131410 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 164131410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

164131410 is an abundant number, since it is smaller than the sum of its proper divisors (238229934).

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

164131410 is a wasteful number, since it uses less digits than its factorization.

164131410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 164131410 is about 12811.3781460076. The cubic root of 164131410 is about 547.5165275134.

Adding to 164131410 its reverse (14131461), we get a palindrome (178262871).

The spelling of 164131410 in words is "one hundred sixty-four million, one hundred thirty-one thousand, four hundred ten".