81137664 has 156 divisors (see below), whose sum is σ = 245336832. Its totient is φ = 25804800.

The previous prime is 81137659. The next prime is 81137713. The reversal of 81137664 is 46673118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142749 + ... + 1142819.

It is an arithmetic number, because the mean of its divisors is an integer number (1572672).

Almost surely, 2^81137664 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 81137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122668416).

81137664 is an abundant number, since it is smaller than the sum of its proper divisors (164199168).

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

81137664 is a wasteful number, since it uses less digits than its factorization.

81137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 81137664 is about 9007.6447532082. The cubic root of 81137664 is about 432.9198506861.

The spelling of 81137664 in words is "eighty-one million, one hundred thirty-seven thousand, six hundred sixty-four".