11485152 has 144 divisors (see below), whose sum is σ = 38892672. Its totient is φ = 3265920.

The previous prime is 11485151. The next prime is 11485157. The reversal of 11485152 is 25158411.

11485152 is a `hidden beast` number, since 1 + 148 + 515 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11485151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54327 + ... + 54537.

It is an arithmetic number, because the mean of its divisors is an integer number (270088).

Almost surely, 2^11485152 is an apocalyptic number.

11485152 is a gapful number since it is divisible by the number (12) 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 11485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446336).

11485152 is an abundant number, since it is smaller than the sum of its proper divisors (27407520).

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

11485152 is an equidigital number, since it uses as much as digits as its factorization.

11485152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 11485152 is about 3388.9750662995. The cubic root of 11485152 is about 225.6206861973.

The spelling of 11485152 in words is "eleven million, four hundred eighty-five thousand, one hundred fifty-two".