81137760 has 192 divisors, whose sum is σ = 283336704. Its totient is φ = 19514880.

The previous prime is 81137759. The next prime is 81137761. The reversal of 81137760 is 6773118.

It is an interprime number because it is at equal distance from previous prime (81137759) and next prime (81137761).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81137761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638817 + ... + 638943.

It is an arithmetic number, because the mean of its divisors is an integer number (1475712).

Almost surely, 2^81137760 is an apocalyptic number.

81137760 is a gapful number since it is divisible by the number (80) 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 81137760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141668352).

81137760 is an abundant number, since it is smaller than the sum of its proper divisors (202198944).

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

81137760 is a wasteful number, since it uses less digits than its factorization.

81137760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 81137760 is about 9007.6500820136. The cubic root of 81137760 is about 432.9200214259.

The spelling of 81137760 in words is "eighty-one million, one hundred thirty-seven thousand, seven hundred sixty".