71238145256124 has 384 divisors, whose sum is σ = 213013927526400. Its totient is φ = 17991720069120.

The previous prime is 71238145256059. The next prime is 71238145256227. The reversal of 71238145256124 is 42165254183217.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22840057837 + ... + 22840060955.

It is an arithmetic number, because the mean of its divisors is an integer number (554723769600).

Almost surely, 2^{71238145256124} 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 71238145256124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106506963763200).

71238145256124 is an abundant number, since it is smaller than the sum of its proper divisors (141775782270276).

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

71238145256124 is a wasteful number, since it uses less digits than its factorization.

71238145256124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5591 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The spelling of 71238145256124 in words is "seventy-one trillion, two hundred thirty-eight billion, one hundred forty-five million, two hundred fifty-six thousand, one hundred twenty-four".