11138000 has 40 divisors (see below), whose sum is σ = 26936520. Its totient is φ = 4454400.

The previous prime is 11137993. The next prime is 11138033. The reversal of 11138000 is 83111.

It can be written as a sum of positive squares in 4 ways, for example, as 1577536 + 9560464 = 1256^2 + 3092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785 + ... + 4784.

It is an arithmetic number, because the mean of its divisors is an integer number (673413).

Almost surely, 2^11138000 is an apocalyptic number.

11138000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11138000 is an abundant number, since it is smaller than the sum of its proper divisors (15798520).

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

11138000 is an equidigital number, since it uses as much as digits as its factorization.

11138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 11138000 is about 3337.3642294481. The cubic root of 11138000 is about 223.3241747686.

The spelling of 11138000 in words is "eleven million, one hundred thirty-eight thousand".