146227200 has 360 divisors, whose sum is σ = 585087552. Its totient is φ = 31457280.

The previous prime is 146227189. The next prime is 146227223. The reversal of 146227200 is 2722641.

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 23 ways as a sum of consecutive naturals, for example, 8601592 + ... + 8601608.

Almost surely, 2^146227200 is an apocalyptic number.

146227200 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 146227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292543776).

146227200 is an abundant number, since it is smaller than the sum of its proper divisors (438860352).

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

146227200 is an equidigital number, since it uses as much as digits as its factorization.

146227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

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

The square root of 146227200 is about 12092.4439217224. The cubic root of 146227200 is about 526.8367411701.

Adding to 146227200 its reverse (2722641), we get a palindrome (148949841).

The spelling of 146227200 in words is "one hundred forty-six million, two hundred twenty-seven thousand, two hundred".