164146400 has 144 divisors (see below), whose sum is σ = 456720768. Its totient is φ = 57024000.

The previous prime is 164146387. The next prime is 164146421. The reversal of 164146400 is 4641461.

It is a self number, because there is not a number n which added to its sum of digits gives 164146400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201995 + ... + 202805.

It is an arithmetic number, because the mean of its divisors is an integer number (3171672).

Almost surely, 2^164146400 is an apocalyptic number.

164146400 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 164146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228360384).

164146400 is an abundant number, since it is smaller than the sum of its proper divisors (292574368).

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

164146400 is a wasteful number, since it uses less digits than its factorization.

164146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 164146400 is about 12811.9631594850. The cubic root of 164146400 is about 547.5331950989.

Adding to 164146400 its reverse (4641461), we get a palindrome (168787861).

The spelling of 164146400 in words is "one hundred sixty-four million, one hundred forty-six thousand, four hundred".