45152160 has 96 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 11916288.

The previous prime is 45152147. The next prime is 45152251. The reversal of 45152160 is 6125154.

45152160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45152160.

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 15 ways as a sum of consecutive naturals, for example, 51889 + ... + 52751.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2^45152160 is an apocalyptic number.

45152160 is a gapful number since it is divisible by the number (40) 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 45152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

45152160 is an abundant number, since it is smaller than the sum of its proper divisors (98548320).

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

45152160 is a wasteful number, since it uses less digits than its factorization.

45152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 45152160 is about 6719.5356982458. The cubic root of 45152160 is about 356.0897808320.

The spelling of 45152160 in words is "forty-five million, one hundred fifty-two thousand, one hundred sixty".