1138600800 has 216 divisors, whose sum is σ = 4164405336. Its totient is φ = 303575040.

The previous prime is 1138600787. The next prime is 1138600817. The reversal of 1138600800 is 80068311.

1138600800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191472 + ... + 197328.

Almost surely, 2^1138600800 is an apocalyptic number.

1138600800 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 1138600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082202668).

1138600800 is an abundant number, since it is smaller than the sum of its proper divisors (3025804536).

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

1138600800 is an equidigital number, since it uses as much as digits as its factorization.

1138600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1138600800 is about 33743.1593067395. The cubic root of 1138600800 is about 1044.2163641933.

The spelling of 1138600800 in words is "one billion, one hundred thirty-eight million, six hundred thousand, eight hundred".