1138536000 has 560 divisors, whose sum is σ = 4832860032. Its totient is φ = 259200000.

The previous prime is 1138535999. The next prime is 1138536013. The reversal of 1138536000 is 6358311.

1138536000 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4535875 + ... + 4536125.

Almost surely, 2^1138536000 is an apocalyptic number.

1138536000 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 1138536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416430016).

1138536000 is an abundant number, since it is smaller than the sum of its proper divisors (3694324032).

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

1138536000 is an equidigital number, since it uses as much as digits as its factorization.

1138536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1138536000 is about 33742.1990984583. The cubic root of 1138536000 is about 1044.1965543518.

The spelling of 1138536000 in words is "one billion, one hundred thirty-eight million, five hundred thirty-six thousand".