81149152 has 96 divisors (see below), whose sum is σ = 200793600. Its totient is φ = 31477248.

The previous prime is 81149149. The next prime is 81149161. The reversal of 81149152 is 25194118.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97474 + ... + 98302.

It is an arithmetic number, because the mean of its divisors is an integer number (2091600).

Almost surely, 2^81149152 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 81149152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100396800).

81149152 is an abundant number, since it is smaller than the sum of its proper divisors (119644448).

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

81149152 is a wasteful number, since it uses less digits than its factorization.

81149152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its digits is 2880, while the sum is 31.

The square root of 81149152 is about 9008.2824112036. The cubic root of 81149152 is about 432.9402815945.

The spelling of 81149152 in words is "eighty-one million, one hundred forty-nine thousand, one hundred fifty-two".