145563200 has 42 divisors (see below), whose sum is σ = 358180386. Its totient is φ = 58224640.

The previous prime is 145563193. The next prime is 145563211. The reversal of 145563200 is 2365541.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 145540096 = 152^2 + 12064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145563200.

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 5 ways as a sum of consecutive naturals, for example, 43889 + ... + 47088.

Almost surely, 2^145563200 is an apocalyptic number.

145563200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145563200 is an abundant number, since it is smaller than the sum of its proper divisors (212617186).

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

145563200 is an equidigital number, since it uses as much as digits as its factorization.

145563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90999 (or 90984 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 145563200 is about 12064.9575216824. The cubic root of 145563200 is about 526.0380971602.

The spelling of 145563200 in words is "one hundred forty-five million, five hundred sixty-three thousand, two hundred".