2145132200 has 48 divisors (see below), whose sum is σ = 4995853980. Its totient is φ = 856604160.

The previous prime is 2145132193. The next prime is 2145132263. The reversal of 2145132200 is 22315412.

It can be written as a sum of positive squares in 6 ways, for example, as 16048036 + 2129084164 = 4006^2 + 46142^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113852 + ... + 131348.

Almost surely, 2^2145132200 is an apocalyptic number.

2145132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145132200 is an abundant number, since it is smaller than the sum of its proper divisors (2850721780).

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

2145132200 is a wasteful number, since it uses less digits than its factorization.

2145132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126 (or 18117 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2145132200 is about 46315.5718954220. The cubic root of 2145132200 is about 1289.6880843525.

Adding to 2145132200 its reverse (22315412), we get a palindrome (2167447612).

The spelling of 2145132200 in words is "two billion, one hundred forty-five million, one hundred thirty-two thousand, two hundred".