146047200 has 288 divisors, whose sum is σ = 531965952. Its totient is φ = 34560000.

The previous prime is 146047199. The next prime is 146047229. The reversal of 146047200 is 2740641.

146047200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967125 + ... + 967275.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 2^146047200 is an apocalyptic number.

146047200 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 146047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265982976).

146047200 is an abundant number, since it is smaller than the sum of its proper divisors (385918752).

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

146047200 is a wasteful number, since it uses less digits than its factorization.

146047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 146047200 is about 12084.9989656599. The cubic root of 146047200 is about 526.6204805588.

Adding to 146047200 its reverse (2740641), we get a palindrome (148787841).

The spelling of 146047200 in words is "one hundred forty-six million, forty-seven thousand, two hundred".