81937152 has 216 divisors, whose sum is σ = 266889168. Its totient is φ = 23961600.

The previous prime is 81937133. The next prime is 81937187. The reversal of 81937152 is 25173918.

It is a super-2 number, since 2×81937152² = 13427393755742208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343202 + ... + 1343262.

It is an arithmetic number, because the mean of its divisors is an integer number (1235598).

Almost surely, 2^81937152 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 81937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133444584).

81937152 is an abundant number, since it is smaller than the sum of its proper divisors (184952016).

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

81937152 is a wasteful number, since it uses less digits than its factorization.

81937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 81937152 is about 9051.9142726829. The cubic root of 81937152 is about 434.3371275367.

The spelling of 81937152 in words is "eighty-one million, nine hundred thirty-seven thousand, one hundred fifty-two".