71134128 has 180 divisors, whose sum is σ = 224196960. Its totient is φ = 21026304.

The previous prime is 71134127. The next prime is 71134159. The reversal of 71134128 is 82143117.

It is not an unprimeable number, because it can be changed into a prime (71134121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 900393 + ... + 900471.

Almost surely, 2^71134128 is an apocalyptic number.

71134128 is a gapful number since it is divisible by the number (78) 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 71134128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112098480).

71134128 is an abundant number, since it is smaller than the sum of its proper divisors (153062832).

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

71134128 is a wasteful number, since it uses less digits than its factorization.

71134128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 71134128 is about 8434.1050503299. The cubic root of 71134128 is about 414.3423619045.

The spelling of 71134128 in words is "seventy-one million, one hundred thirty-four thousand, one hundred twenty-eight".