71134119000 has 1536 divisors, whose sum is σ = 313992806400. Its totient is φ = 14696640000.

The previous prime is 71134118933. The next prime is 71134119041. The reversal of 71134119000 is 91143117.

It is a super-2 number, since 2×71134119000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1001888965 + ... + 1001889035.

It is an arithmetic number, because the mean of its divisors is an integer number (204422400).

Almost surely, 2^71134119000 is an apocalyptic number.

71134119000 is a gapful number since it is divisible by the number (70) 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 71134119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156996403200).

71134119000 is an abundant number, since it is smaller than the sum of its proper divisors (242858687400).

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

71134119000 is a wasteful number, since it uses less digits than its factorization.

71134119000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 71134119000 in words is "seventy-one billion, one hundred thirty-four million, one hundred nineteen thousand".