71138736000 has 1024 divisors, whose sum is σ = 281833344000. Its totient is φ = 17803929600.

The previous prime is 71138735989. The next prime is 71138736013. The reversal of 71138736000 is 63783117.

71138736000 is a `hidden beast` number, since 7 + 11 + 38 + 7 + 3 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 664847947 + ... + 664848053.

It is an arithmetic number, because the mean of its divisors is an integer number (275227875).

Almost surely, 2^71138736000 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 71138736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140916672000).

71138736000 is an abundant number, since it is smaller than the sum of its proper divisors (210694608000).

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

71138736000 is an equidigital number, since it uses as much as digits as its factorization.

71138736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 71138736000 in words is "seventy-one billion, one hundred thirty-eight million, seven hundred thirty-six thousand".