1145733120 has 512 divisors, whose sum is σ = 4781433600. Its totient is φ = 254803968.

The previous prime is 1145733119. The next prime is 1145733133. The reversal of 1145733120 is 213375411.

It is a tau number, because it is divible by the number of its divisors (512).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30965742 + ... + 30965778.

Almost surely, 2^1145733120 is an apocalyptic number.

1145733120 is a gapful number since it is divisible by the number (10) 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 1145733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390716800).

1145733120 is an abundant number, since it is smaller than the sum of its proper divisors (3635700480).

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

1145733120 is an frugal number, since it uses more digits than its factorization.

1145733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1145733120 is about 33848.6797379159. The cubic root of 1145733120 is about 1046.3921891514.

The spelling of 1145733120 in words is "one billion, one hundred forty-five million, seven hundred thirty-three thousand, one hundred twenty".