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13152 = 253137

13152 has 24 divisors (see below), whose sum is σ = 34776. Its totient is φ = 4352.

The previous prime is 13151. The next prime is 13159. The reversal of 13152 is 25131.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 11 and base 12.

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13152.

It is not an unprimeable number, because it can be changed into a prime (13151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (1449).

213152 is an apocalyptic number.

13152 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 13152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388).

13152 is an abundant number, since it is smaller than the sum of its proper divisors (21624).

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

13152 is a wasteful number, since it uses less digits than its factorization.

13152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 13152 is about 114.6821694947. The cubic root of 13152 is about 23.6046337736.

The spelling of 13152 in words is "thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 13152