11134000240 has 80 divisors (see below), whose sum is σ = 28275868800. Its totient is φ = 4043567360.

The previous prime is 11134000183. The next prime is 11134000249. The reversal of 11134000240 is 4200043111.

11134000240 is digitally balanced in base 2, 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 (80).

It is a super-2 number, since 2×11134000240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134000249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720111 + ... + 735409.

It is an arithmetic number, because the mean of its divisors is an integer number (353448360).

Almost surely, 2^11134000240 is an apocalyptic number.

11134000240 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 11134000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137934400).

11134000240 is an abundant number, since it is smaller than the sum of its proper divisors (17141868560).

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

11134000240 is a wasteful number, since it uses less digits than its factorization.

11134000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11134000240 its reverse (4200043111), we get a palindrome (15334043351).

The spelling of 11134000240 in words is "eleven billion, one hundred thirty-four million, two hundred forty", and thus it is an aban number.