1145013200 has 60 divisors (see below), whose sum is σ = 2754591180. Its totient is φ = 457390080.

The previous prime is 1145013187. The next prime is 1145013227. The reversal of 1145013200 is 23105411.

It can be written as a sum of positive squares in 6 ways, for example, as 303317056 + 841696144 = 17416^2 + 29012^2 .

It is a super-2 number, since 2×1145013200² = 2622110456348480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402182 + ... + 405018.

It is an arithmetic number, because the mean of its divisors is an integer number (45909853).

Almost surely, 2^1145013200 is an apocalyptic number.

1145013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145013200 is an abundant number, since it is smaller than the sum of its proper divisors (1609577980).

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

1145013200 is a wasteful number, since it uses less digits than its factorization.

1145013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1145013200 is about 33838.0436786762. The cubic root of 1145013200 is about 1046.1729768150.

Adding to 1145013200 its reverse (23105411), we get a palindrome (1168118611).

The spelling of 1145013200 in words is "one billion, one hundred forty-five million, thirteen thousand, two hundred".