45507132 has 108 divisors (see below), whose sum is σ = 130906048. Its totient is φ = 13305600.

The previous prime is 45507127. The next prime is 45507169. The reversal of 45507132 is 23170554.

It is a happy number.

45507132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45507096 and 45507105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134868 + ... + 135204.

Almost surely, 2^45507132 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 45507132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65453024).

45507132 is an abundant number, since it is smaller than the sum of its proper divisors (85398916).

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

45507132 is a wasteful number, since it uses less digits than its factorization.

45507132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45507132 is about 6745.8974199138. The cubic root of 45507132 is about 357.0205011413.

Adding to 45507132 its reverse (23170554), we get a palindrome (68677686).

The spelling of 45507132 in words is "forty-five million, five hundred seven thousand, one hundred thirty-two".