11132138400 has 144 divisors (see below), whose sum is σ = 36277365600. Its totient is φ = 2965109760.

The previous prime is 11132138383. The next prime is 11132138417. The reversal of 11132138400 is 483123111.

11132138400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11132138383) and next prime (11132138417).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2563431 + ... + 2567769.

It is an arithmetic number, because the mean of its divisors is an integer number (251926150).

Almost surely, 2^11132138400 is an apocalyptic number.

11132138400 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 11132138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138682800).

11132138400 is an abundant number, since it is smaller than the sum of its proper divisors (25145227200).

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

11132138400 is a wasteful number, since it uses less digits than its factorization.

11132138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 11132138400 in words is "eleven billion, one hundred thirty-two million, one hundred thirty-eight thousand, four hundred".