45137736 has 192 divisors, whose sum is σ = 150958080. Its totient is φ = 12363840.

The previous prime is 45137731. The next prime is 45137747. The reversal of 45137736 is 63773154.

45137736 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 2×45137736² = 4074830422411392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45137736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45137731) 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 47 ways as a sum of consecutive naturals, for example, 421795 + ... + 421901.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^45137736 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 45137736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

45137736 is an abundant number, since it is smaller than the sum of its proper divisors (105820344).

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

45137736 is a wasteful number, since it uses less digits than its factorization.

45137736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 45137736 is about 6718.4623240739. The cubic root of 45137736 is about 356.0518587922.

The spelling of 45137736 in words is "forty-five million, one hundred thirty-seven thousand, seven hundred thirty-six".