45005313132 has 108 divisors (see below), whose sum is σ = 124748289120. Its totient is φ = 13672354176.

The previous prime is 45005313013. The next prime is 45005313139. The reversal of 45005313132 is 23131350054.

45005313132 is a `hidden beast` number, since 450 + 0 + 53 + 131 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45005313096 and 45005313105.

It is not an unprimeable number, because it can be changed into a prime (45005313139) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 433818 + ... + 527454.

Almost surely, 2^45005313132 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 45005313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62374144560).

45005313132 is an abundant number, since it is smaller than the sum of its proper divisors (79742975988).

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

45005313132 is a wasteful number, since it uses less digits than its factorization.

45005313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93752 (or 93734 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 45005313132 its reverse (23131350054), we get a palindrome (68136663186).

The spelling of 45005313132 in words is "forty-five billion, five million, three hundred thirteen thousand, one hundred thirty-two".