1145188800 has 504 divisors, whose sum is σ = 4865187120. Its totient is φ = 261273600.

The previous prime is 1145188783. The next prime is 1145188841. The reversal of 1145188800 is 88815411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1145188800² = 2622914775290880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116530 + ... + 2117070.

Almost surely, 2^1145188800 is an apocalyptic number.

1145188800 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 1145188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432593560).

1145188800 is an abundant number, since it is smaller than the sum of its proper divisors (3719998320).

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

1145188800 is a wasteful number, since it uses less digits than its factorization.

1145188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1145188800 is about 33840.6382918526. The cubic root of 1145188800 is about 1046.2264546801.

The spelling of 1145188800 in words is "one billion, one hundred forty-five million, one hundred eighty-eight thousand, eight hundred".