145020200 has 144 divisors (see below), whose sum is σ = 387722580. Its totient is φ = 50135040.

The previous prime is 145020167. The next prime is 145020247. The reversal of 145020200 is 2020541.

It can be written as a sum of positive squares in 18 ways, for example, as 4502884 + 140517316 = 2122^2 + 11854^2 .

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 35 ways as a sum of consecutive naturals, for example, 751304 + ... + 751496.

Almost surely, 2^145020200 is an apocalyptic number.

145020200 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 145020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193861290).

145020200 is an abundant number, since it is smaller than the sum of its proper divisors (242702380).

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

145020200 is a wasteful number, since it uses less digits than its factorization.

145020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 145020200 is about 12042.4333089289. The cubic root of 145020200 is about 525.3831820878.

Adding to 145020200 its reverse (2020541), we get a palindrome (147040741).

The spelling of 145020200 in words is "one hundred forty-five million, twenty thousand, two hundred".