1152 has 24 divisors (see below), whose sum is σ = 3315. Its totient is φ = 384.

The previous prime is 1151. The next prime is 1153. The reversal of 1152 is 2511.

Adding to 1152 its reverse (2511), we get a palindrome (3663).

It can be divided in two parts, 1 and 152, that added together give a triangular number (153 = T_{17}).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ 2!.

1152 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1151) and next prime (1153).

It can be written as a sum of positive squares in only one way, i.e., 576 + 576 = 24^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=24.

It is a Harshad number since it is a multiple of its sum of digits (9).

Its product of digits (10) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6, base 8 and base 12.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 383 + 384 + 385.

1152 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 1152

1152 is an abundant number, since it is smaller than the sum of its proper divisors (2163).

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

1152 is an equidigital number, since it uses as much as digits as its factorization.

1152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20 (or 5 counting only the distinct ones).

The product of its digits is 10, while the sum is 9.

The square root of 1152 is about 33.9411254970. The cubic root of 1152 is about 10.4829655768.

The spelling of 1152 in words is "one thousand, one hundred fifty-two".

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