1138892800 has 168 divisors, whose sum is σ = 2900970576. Its totient is φ = 443351040.

The previous prime is 1138892789. The next prime is 1138892803. The reversal of 1138892800 is 82988311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1138892803) 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, 13721559 + ... + 13721641.

It is an arithmetic number, because the mean of its divisors is an integer number (17267682).

Almost surely, 2^1138892800 is an apocalyptic number.

1138892800 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 1138892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450485288).

1138892800 is an abundant number, since it is smaller than the sum of its proper divisors (1762077776).

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

1138892800 is an frugal number, since it uses more digits than its factorization.

1138892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 1138892800 is about 33747.4858322809. The cubic root of 1138892800 is about 1044.3056214398.

The spelling of 1138892800 in words is "one billion, one hundred thirty-eight million, eight hundred ninety-two thousand, eight hundred".