1145200320 has 336 divisors, whose sum is σ = 4417759008. Its totient is φ = 269844480.

The previous prime is 1145200279. The next prime is 1145200327. The reversal of 1145200320 is 230025411.

1145200320 is a `hidden beast` number, since 1 + 145 + 200 + 320 = 666.

It is a super-2 number, since 2×1145200320² = 2622967545856204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1145200293 and 1145200302.

It is not an unprimeable number, because it can be changed into a prime (1145200327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1171672 + ... + 1172648.

Almost surely, 2^1145200320 is an apocalyptic number.

1145200320 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 1145200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208879504).

1145200320 is an abundant number, since it is smaller than the sum of its proper divisors (3272558688).

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

1145200320 is a wasteful number, since it uses less digits than its factorization.

1145200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1145200320 is about 33840.8085009800. The cubic root of 1145200320 is about 1046.2299628319.

Adding to 1145200320 its reverse (230025411), we get a palindrome (1375225731).

The spelling of 1145200320 in words is "one billion, one hundred forty-five million, two hundred thousand, three hundred twenty".