45745128 has 128 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 12787200.

The previous prime is 45745127. The next prime is 45745129. The reversal of 45745128 is 82154754.

It is an interprime number because it is at equal distance from previous prime (45745127) and next prime (45745129).

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 = 45745092 and 45745101.

It is not an unprimeable number, because it can be changed into a prime (45745127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30148 + ... + 31628.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^45745128 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 45745128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

45745128 is an abundant number, since it is smaller than the sum of its proper divisors (103640472).

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

45745128 is a wasteful number, since it uses less digits than its factorization.

45745128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1510 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45745128 is about 6763.5144710424. The cubic root of 45745128 is about 357.6418085436.

The spelling of 45745128 in words is "forty-five million, seven hundred forty-five thousand, one hundred twenty-eight".