81829527156 has 120 divisors (see below), whose sum is σ = 231061430600. Its totient is φ = 25103167488.

The previous prime is 81829527151. The next prime is 81829527173. The reversal of 81829527156 is 65172592818.

81829527156 is a `hidden beast` number, since 81 + 8 + 29 + 527 + 15 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14924531556 + 66904995600 = 122166^2 + 258660^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81829527151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1390620 + ... + 1448268.

Almost surely, 2^81829527156 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 81829527156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115530715300).

81829527156 is an abundant number, since it is smaller than the sum of its proper divisors (149231903444).

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

81829527156 is a wasteful number, since it uses less digits than its factorization.

81829527156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58015 (or 58004 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 81829527156 in words is "eighty-one billion, eight hundred twenty-nine million, five hundred twenty-seven thousand, one hundred fifty-six".