145216200 has 96 divisors (see below), whose sum is σ = 453096000. Its totient is φ = 38472960.

The previous prime is 145216177. The next prime is 145216241. The reversal of 145216200 is 2612541.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 103101 + ... + 104499.

It is an arithmetic number, because the mean of its divisors is an integer number (4719750).

Almost surely, 2^145216200 is an apocalyptic number.

145216200 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 145216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226548000).

145216200 is an abundant number, since it is smaller than the sum of its proper divisors (307879800).

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

145216200 is a wasteful number, since it uses less digits than its factorization.

145216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 145216200 is about 12050.5684513221. The cubic root of 145216200 is about 525.6197669382.

Adding to 145216200 its reverse (2612541), we get a palindrome (147828741).

The spelling of 145216200 in words is "one hundred forty-five million, two hundred sixteen thousand, two hundred".