45132345300 has 144 divisors (see below), whose sum is σ = 149307443712. Its totient is φ = 10311139200.

The previous prime is 45132345277. The next prime is 45132345319. The reversal of 45132345300 is 354323154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6470815 + ... + 6477785.

It is an arithmetic number, because the mean of its divisors is an integer number (1036857248).

Almost surely, 2^45132345300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45132345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74653721856).

45132345300 is an abundant number, since it is smaller than the sum of its proper divisors (104175098412).

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

45132345300 is a wasteful number, since it uses less digits than its factorization.

45132345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 45132345300 its reverse (354323154), we get a palindrome (45486668454).

The spelling of 45132345300 in words is "forty-five billion, one hundred thirty-two million, three hundred forty-five thousand, three hundred".