45145285200 has 150 divisors (see below), whose sum is σ = 162022922094. Its totient is φ = 12038734080.

The previous prime is 45145285139. The next prime is 45145285231. The reversal of 45145285200 is 258254154.

It can be written as a sum of positive squares in 3 ways, for example, as 9315338256 + 35829946944 = 96516^2 + 189288^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 664287 + ... + 729086.

Almost surely, 2^45145285200 is an apocalyptic number.

45145285200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45145285200 is an abundant number, since it is smaller than the sum of its proper divisors (116877636894).

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

45145285200 is a wasteful number, since it uses less digits than its factorization.

45145285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393403 (or 1393383 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 45145285200 in words is "forty-five billion, one hundred forty-five million, two hundred eighty-five thousand, two hundred".