45138732 has 48 divisors (see below), whose sum is σ = 109804800. Its totient is φ = 14414400.

The previous prime is 45138727. The next prime is 45138733. The reversal of 45138732 is 23783154.

It is a junction number, because it is equal to n+sod(n) for n = 45138693 and 45138702.

It is not an unprimeable number, because it can be changed into a prime (45138733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52119 + ... + 52977.

It is an arithmetic number, because the mean of its divisors is an integer number (2287600).

Almost surely, 2^45138732 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 45138732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54902400).

45138732 is an abundant number, since it is smaller than the sum of its proper divisors (64666068).

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

45138732 is a wasteful number, since it uses less digits than its factorization.

45138732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1044 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 45138732 is about 6718.5364477690. The cubic root of 45138732 is about 356.0544776286.

The spelling of 45138732 in words is "forty-five million, one hundred thirty-eight thousand, seven hundred thirty-two".