71134980300 has 288 divisors, whose sum is σ = 232972588800. Its totient is φ = 18617195520.

The previous prime is 71134980299. The next prime is 71134980317. The reversal of 71134980300 is 308943117.

It is a happy number.

71134980300 is a `hidden beast` number, since 7 + 1 + 1 + 349 + 8 + 0 + 300 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32644611 + ... + 32646789.

It is an arithmetic number, because the mean of its divisors is an integer number (808932600).

Almost surely, 2^71134980300 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 71134980300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116486294400).

71134980300 is an abundant number, since it is smaller than the sum of its proper divisors (161837608500).

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

71134980300 is a wasteful number, since it uses less digits than its factorization.

71134980300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 71134980300 in words is "seventy-one billion, one hundred thirty-four million, nine hundred eighty thousand, three hundred".