1145461152 has 96 divisors (see below), whose sum is σ = 3286713024. Its totient is φ = 346419200.

The previous prime is 1145461127. The next prime is 1145461181. The reversal of 1145461152 is 2511645411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840952 + ... + 842312.

It is an arithmetic number, because the mean of its divisors is an integer number (34236594).

Almost surely, 2^1145461152 is an apocalyptic number.

1145461152 is a gapful number since it is divisible by the number (12) 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 1145461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643356512).

1145461152 is an abundant number, since it is smaller than the sum of its proper divisors (2141251872).

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

1145461152 is a wasteful number, since it uses less digits than its factorization.

1145461152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2174 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 1145461152 is about 33844.6620902026. The cubic root of 1145461152 is about 1046.3093869389.

The spelling of 1145461152 in words is "one billion, one hundred forty-five million, four hundred sixty-one thousand, one hundred fifty-two".