45163152 has 120 divisors (see below), whose sum is σ = 141017760. Its totient is φ = 13409280.

The previous prime is 45163147. The next prime is 45163177. The reversal of 45163152 is 25136154.

45163152 is a `hidden beast` number, since 451 + 63 + 152 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46027 + ... + 46997.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148).

Almost surely, 2^45163152 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 45163152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70508880).

45163152 is an abundant number, since it is smaller than the sum of its proper divisors (95854608).

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

45163152 is a wasteful number, since it uses less digits than its factorization.

45163152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1012 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45163152 is about 6720.3535621275. The cubic root of 45163152 is about 356.1186744020.

The spelling of 45163152 in words is "forty-five million, one hundred sixty-three thousand, one hundred fifty-two".