81152 has 18 divisors (see below), whose sum is σ = 162498. Its totient is φ = 40448.

The previous prime is 81131. The next prime is 81157. The reversal of 81152 is 25118.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 30976 = 224^2 + 176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 81152.

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 81152.

It is not an unprimeable number, because it can be changed into a prime (81157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 98 + ... + 414.

2⁸¹¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81249).

81152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

81152 is an equidigital number, since it uses as much as digits as its factorization.

81152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 81152 is about 284.8719010362. The cubic root of 81152 is about 43.2945346340.

It can be divided in two parts, 8 and 1152, that multiplied together give a square (9216 = 96²).

The spelling of 81152 in words is "eighty-one thousand, one hundred fifty-two".