11483136 has 144 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 3244032.

The previous prime is 11483123. The next prime is 11483179. The reversal of 11483136 is 63138411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128980 + ... + 129068.

It is an arithmetic number, because the mean of its divisors is an integer number (266175).

Almost surely, 2^11483136 is an apocalyptic number.

11483136 is a gapful number since it is divisible by the number (16) 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 11483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

11483136 is an abundant number, since it is smaller than the sum of its proper divisors (26846064).

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

11483136 is an equidigital number, since it uses as much as digits as its factorization.

11483136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11483136 is about 3388.6776181868. The cubic root of 11483136 is about 225.6074842847.

The spelling of 11483136 in words is "eleven million, four hundred eighty-three thousand, one hundred thirty-six".