45132516 has 108 divisors (see below), whose sum is σ = 135214716. Its totient is φ = 12608640.

The previous prime is 45132491. The next prime is 45132517. The reversal of 45132516 is 61523154.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 31472100 = 3696^2 + 5610^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45132516.

It is not an unprimeable number, because it can be changed into a prime (45132517) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56230 + ... + 57026.

Almost surely, 2^45132516 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 45132516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67607358).

45132516 is an abundant number, since it is smaller than the sum of its proper divisors (90082200).

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

45132516 is a wasteful number, since it uses less digits than its factorization.

45132516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 826 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45132516 is about 6718.0738310918. The cubic root of 45132516 is about 356.0381329350.

The spelling of 45132516 in words is "forty-five million, one hundred thirty-two thousand, five hundred sixteen".