45144200 has 24 divisors (see below), whose sum is σ = 104960730. Its totient is φ = 18057600.

The previous prime is 45144199. The next prime is 45144217. The reversal of 45144200 is 244154.

It can be written as a sum of positive squares in 3 ways, for example, as 25020004 + 20124196 = 5002^2 + 4486^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112661 + ... + 113060.

Almost surely, 2^45144200 is an apocalyptic number.

45144200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45144200 is an abundant number, since it is smaller than the sum of its proper divisors (59816530).

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

45144200 is a wasteful number, since it uses less digits than its factorization.

45144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225737 (or 225728 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 45144200 is about 6718.9433693104. The cubic root of 45144200 is about 356.0688542492.

Adding to 45144200 its reverse (244154), we get a palindrome (45388354).

The spelling of 45144200 in words is "forty-five million, one hundred forty-four thousand, two hundred".