71489015136 has 576 divisors, whose sum is σ = 268101550080. Its totient is φ = 17505745920.

The previous prime is 71489015119. The next prime is 71489015149. The reversal of 71489015136 is 63151098417.

71489015136 is a `hidden beast` number, since 7 + 1 + 48 + 90 + 1 + 513 + 6 = 666.

It is a super-3 number, since 3×71489015136³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 71489015091 and 71489015100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161374531 + ... + 161374973.

It is an arithmetic number, because the mean of its divisors is an integer number (465454080).

Almost surely, 2^71489015136 is an apocalyptic number.

71489015136 is a gapful number since it is divisible by the number (76) 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 71489015136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134050775040).

71489015136 is an abundant number, since it is smaller than the sum of its proper divisors (196612534944).

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

71489015136 is a wasteful number, since it uses less digits than its factorization.

71489015136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71489015136 in words is "seventy-one billion, four hundred eighty-nine million, fifteen thousand, one hundred thirty-six".