45934128 has 150 divisors (see below), whose sum is σ = 141052604. Its totient is φ = 14427072.

The previous prime is 45934123. The next prime is 45934139. The reversal of 45934128 is 82143954.

45934128 is a `hidden beast` number, since 4 + 593 + 41 + 28 = 666.

45934128 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 = 45934092 and 45934101.

It is not an unprimeable number, because it can be changed into a prime (45934121) 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 29 ways as a sum of consecutive naturals, for example, 685551 + ... + 685617.

Almost surely, 2^45934128 is an apocalyptic number.

45934128 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 45934128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70526302).

45934128 is an abundant number, since it is smaller than the sum of its proper divisors (95118476).

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

45934128 is a wasteful number, since it uses less digits than its factorization.

45934128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 45934128 is about 6777.4720951104. The cubic root of 45934128 is about 358.1336745795.

The spelling of 45934128 in words is "forty-five million, nine hundred thirty-four thousand, one hundred twenty-eight".