45250128 has 270 divisors, whose sum is σ = 164977722. Its totient is φ = 11531520.

The previous prime is 45250103. The next prime is 45250129. The reversal of 45250128 is 82105254.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 3415104 = 6468^2 + 1848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45250129) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 853750 + ... + 853802.

Almost surely, 2^45250128 is an apocalyptic number.

45250128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45250128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82488861).

45250128 is an abundant number, since it is smaller than the sum of its proper divisors (119727594).

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

45250128 is a wasteful number, since it uses less digits than its factorization.

45250128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45250128 is about 6726.8215376952. The cubic root of 45250128 is about 356.3471343626.

The spelling of 45250128 in words is "forty-five million, two hundred fifty thousand, one hundred twenty-eight".