1145504000 has 72 divisors (see below), whose sum is σ = 2853673368. Its totient is φ = 458188800.

The previous prime is 1145503987. The next prime is 1145504023. The reversal of 1145504000 is 4055411.

It can be written as a sum of positive squares in 4 ways, for example, as 232013824 + 913490176 = 15232^2 + 30224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14102 + ... + 49898.

Almost surely, 2^1145504000 is an apocalyptic number.

1145504000 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 1145504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426836684).

1145504000 is an abundant number, since it is smaller than the sum of its proper divisors (1708169368).

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

1145504000 is an frugal number, since it uses more digits than its factorization.

1145504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35828 (or 35804 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1145504000 is about 33845.2950940009. The cubic root of 1145504000 is about 1046.3224331272.

Adding to 1145504000 its reverse (4055411), we get a palindrome (1149559411).

The spelling of 1145504000 in words is "one billion, one hundred forty-five million, five hundred four thousand".