11136000 has 176 divisors, whose sum is σ = 38319840. Its totient is φ = 2867200.

The previous prime is 11135987. The next prime is 11136007. The reversal of 11136000 is 63111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11136007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383986 + ... + 384014.

Almost surely, 2^11136000 is an apocalyptic number.

11136000 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 11136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19159920).

11136000 is an abundant number, since it is smaller than the sum of its proper divisors (27183840).

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

11136000 is an equidigital number, since it uses as much as digits as its factorization.

11136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11136000 is about 3337.0645783383. The cubic root of 11136000 is about 223.3108068663.

Adding to 11136000 its reverse (63111), we get a palindrome (11199111).

The spelling of 11136000 in words is "eleven million, one hundred thirty-six thousand".