164145408 has 144 divisors (see below), whose sum is σ = 525880320. Its totient is φ = 44402688.

The previous prime is 164145407. The next prime is 164145409. The reversal of 164145408 is 804541461.

It is an interprime number because it is at equal distance from previous prime (164145407) and next prime (164145409).

It is not an unprimeable number, because it can be changed into a prime (164145407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101341 + ... + 102947.

Almost surely, 2^164145408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262940160).

164145408 is an abundant number, since it is smaller than the sum of its proper divisors (361734912).

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

164145408 is a wasteful number, since it uses less digits than its factorization.

164145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 164145408 is about 12811.9244456093. The cubic root of 164145408 is about 547.5320921119.

Adding to 164145408 its reverse (804541461), we get a palindrome (968686869).

The spelling of 164145408 in words is "one hundred sixty-four million, one hundred forty-five thousand, four hundred eight".