45142016 has 52 divisors (see below), whose sum is σ = 92001312. Its totient is φ = 22142976.

The previous prime is 45142007. The next prime is 45142033. The reversal of 45142016 is 61024154.

It is a junction number, because it is equal to n+sod(n) for n = 45141982 and 45142000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421835 + ... + 421941.

It is an arithmetic number, because the mean of its divisors is an integer number (1769256).

Almost surely, 2^45142016 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 45142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46000656).

45142016 is an abundant number, since it is smaller than the sum of its proper divisors (46859296).

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

45142016 is a wasteful number, since it uses less digits than its factorization.

45142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 45142016 is about 6718.7808417897. The cubic root of 45142016 is about 356.0631121537.

The spelling of 45142016 in words is "forty-five million, one hundred forty-two thousand, sixteen".