45556140 has 96 divisors (see below), whose sum is σ = 147732480. Its totient is φ = 10273536.

The previous prime is 45556117. The next prime is 45556153. The reversal of 45556140 is 4165554.

45556140 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 45556098 and 45556107.

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 31 ways as a sum of consecutive naturals, for example, 32494 + ... + 33866.

It is an arithmetic number, because the mean of its divisors is an integer number (1538880).

Almost surely, 2^45556140 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 45556140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73866240).

45556140 is an abundant number, since it is smaller than the sum of its proper divisors (102176340).

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

45556140 is a wasteful number, since it uses less digits than its factorization.

45556140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 45556140 is about 6749.5288724473. The cubic root of 45556140 is about 357.1486172023.

The spelling of 45556140 in words is "forty-five million, five hundred fifty-six thousand, one hundred forty".