1145200 has 60 divisors (see below), whose sum is σ = 3152080. Its totient is φ = 391680.

The previous prime is 1145191. The next prime is 1145203. The reversal of 1145200 is 25411.

It is a super-2 number, since 2×1145200² = 2622966080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2596 + ... + 3004.

2^1145200 is an apocalyptic number.

1145200 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 1145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576040).

1145200 is an abundant number, since it is smaller than the sum of its proper divisors (2006880).

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

1145200 is a wasteful number, since it uses less digits than its factorization.

1145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1145200 is about 1070.1401777337. The cubic root of 1145200 is about 104.6229865384.

The spelling of 1145200 in words is "one million, one hundred forty-five thousand, two hundred".