45633132 has 60 divisors (see below), whose sum is σ = 120341760. Its totient is φ = 15077664.

The previous prime is 45633131. The next prime is 45633139. The reversal of 45633132 is 23133654.

It is a happy number.

45633132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45633132² = 4164765472258848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45633096 and 45633105.

It is not an unprimeable number, because it can be changed into a prime (45633131) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 40594 + ... + 41702.

It is an arithmetic number, because the mean of its divisors is an integer number (2005696).

Almost surely, 2^45633132 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 45633132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60170880).

45633132 is an abundant number, since it is smaller than the sum of its proper divisors (74708628).

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

45633132 is a wasteful number, since it uses less digits than its factorization.

45633132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1241 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 45633132 is about 6755.2299738795. The cubic root of 45633132 is about 357.3497032333.

Adding to 45633132 its reverse (23133654), we get a palindrome (68766786).

The spelling of 45633132 in words is "forty-five million, six hundred thirty-three thousand, one hundred thirty-two".