1145636800 has 336 divisors, whose sum is σ = 3728118528. Its totient is φ = 335462400.

The previous prime is 1145636777. The next prime is 1145636803. The reversal of 1145636800 is 86365411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145636803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094127 + ... + 2094673.

Almost surely, 2^1145636800 is an apocalyptic number.

1145636800 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 1145636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864059264).

1145636800 is an abundant number, since it is smaller than the sum of its proper divisors (2582481728).

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

1145636800 is a wasteful number, since it uses less digits than its factorization.

1145636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1145636800 is about 33847.2569051024. The cubic root of 1145636800 is about 1046.3628654754.

The spelling of 1145636800 in words is "one billion, one hundred forty-five million, six hundred thirty-six thousand, eight hundred".