1365113200 has 120 divisors (see below), whose sum is σ = 3590926416. Its totient is φ = 494592000.

The previous prime is 1365113177. The next prime is 1365113207. The reversal of 1365113200 is 23115631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2028064 + ... + 2028736.

Almost surely, 2^1365113200 is an apocalyptic number.

1365113200 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 1365113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795463208).

1365113200 is an abundant number, since it is smaller than the sum of its proper divisors (2225813216).

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

1365113200 is a wasteful number, since it uses less digits than its factorization.

1365113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1365113200 is about 36947.4383415143. The cubic root of 1365113200 is about 1109.3184139094.

Adding to 1365113200 its reverse (23115631), we get a palindrome (1388228831).

The spelling of 1365113200 in words is "one billion, three hundred sixty-five million, one hundred thirteen thousand, two hundred".