45136728 has 144 divisors (see below), whose sum is σ = 152290320. Its totient is φ = 11760768.

The previous prime is 45136699. The next prime is 45136747. The reversal of 45136728 is 82763154.

45136728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45136692 and 45136701.

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, 543775 + ... + 543857.

Almost surely, 2^45136728 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 45136728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76145160).

45136728 is an abundant number, since it is smaller than the sum of its proper divisors (107153592).

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

45136728 is a wasteful number, since it uses less digits than its factorization.

45136728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 108 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 45136728 is about 6718.3873064896. The cubic root of 45136728 is about 356.0492083643.

The spelling of 45136728 in words is "forty-five million, one hundred thirty-six thousand, seven hundred twenty-eight".