81401152 has 84 divisors (see below), whose sum is σ = 190501524. Its totient is φ = 34406400.

The previous prime is 81401141. The next prime is 81401161. The reversal of 81401152 is 25110418.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 2119936 = 8904^2 + 1456^2 .

It is a super-2 number, since 2×81401152² = 13252295093854208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316608 + ... + 316864.

Almost surely, 2^81401152 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 81401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95250762).

81401152 is an abundant number, since it is smaller than the sum of its proper divisors (109100372).

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

81401152 is a wasteful number, since it uses less digits than its factorization.

81401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 81401152 is about 9022.2586972443. The cubic root of 81401152 is about 433.3879683907.

The spelling of 81401152 in words is "eighty-one million, four hundred one thousand, one hundred fifty-two".