146224800 has 216 divisors, whose sum is σ = 538653024. Its totient is φ = 37255680.

The previous prime is 146224787. The next prime is 146224801. The reversal of 146224800 is 8422641.

It is not an unprimeable number, because it can be changed into a prime (146224801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165159 + ... + 166041.

It is an arithmetic number, because the mean of its divisors is an integer number (2493764).

Almost surely, 2^146224800 is an apocalyptic number.

146224800 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 146224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269326512).

146224800 is an abundant number, since it is smaller than the sum of its proper divisors (392428224).

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

146224800 is a wasteful number, since it uses less digits than its factorization.

146224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 146224800 is about 12092.3446857919. The cubic root of 146224800 is about 526.8338588629.

It can be divided in two parts, 1462 and 24800, that added together give a palindrome (26262).

The spelling of 146224800 in words is "one hundred forty-six million, two hundred twenty-four thousand, eight hundred".