145112200 has 48 divisors (see below), whose sum is σ = 338544180. Its totient is φ = 57845760.

The previous prime is 145112179. The next prime is 145112203. The reversal of 145112200 is 2211541.

It can be written as a sum of positive squares in 6 ways, for example, as 10227204 + 134884996 = 3198^2 + 11614^2 .

It is not an unprimeable number, because it can be changed into a prime (145112203) by changing a digit.

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, 66324 + ... + 68476.

Almost surely, 2^145112200 is an apocalyptic number.

145112200 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 145112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169272090).

145112200 is an abundant number, since it is smaller than the sum of its proper divisors (193431980).

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

145112200 is a wasteful number, since it uses less digits than its factorization.

145112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 145112200 is about 12046.2525293138. The cubic root of 145112200 is about 525.4942586485.

Adding to 145112200 its reverse (2211541), we get a palindrome (147323741).

The spelling of 145112200 in words is "one hundred forty-five million, one hundred twelve thousand, two hundred".