146323200 has 108 divisors (see below), whose sum is σ = 482960408. Its totient is φ = 39014400.

The previous prime is 146323159. The next prime is 146323213. The reversal of 146323200 is 2323641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15390 + ... + 23010.

Almost surely, 2^146323200 is an apocalyptic number.

146323200 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 146323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241480204).

146323200 is an abundant number, since it is smaller than the sum of its proper divisors (336637208).

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

146323200 is an equidigital number, since it uses as much as digits as its factorization.

146323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 146323200 is about 12096.4126913726. The cubic root of 146323200 is about 526.9520076029.

Adding to 146323200 its reverse (2323641), we get a palindrome (148646841).

The spelling of 146323200 in words is "one hundred forty-six million, three hundred twenty-three thousand, two hundred".