11134000 has 80 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 4204800.

The previous prime is 11133961. The next prime is 11134009. The reversal of 11134000 is 43111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11134009) 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, 37854 + ... + 38146.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^11134000 is an apocalyptic number.

11134000 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 11134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

11134000 is an abundant number, since it is smaller than the sum of its proper divisors (17301680).

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

11134000 is a wasteful number, since it uses less digits than its factorization.

11134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11134000 is about 3336.7649003189. The cubic root of 11134000 is about 223.2974373634.

Adding to 11134000 its reverse (43111), we get a palindrome (11177111).

The spelling of 11134000 in words is "eleven million, one hundred thirty-four thousand".