117145408128 has 256 divisors, whose sum is σ = 374132736000. Its totient is φ = 31766999040.

The previous prime is 117145408091. The next prime is 117145408129. The reversal of 117145408128 is 821804541711.

117145408128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 117145408128.

It is not an unprimeable number, because it can be changed into a prime (117145408129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4586433 + ... + 4611903.

It is an arithmetic number, because the mean of its divisors is an integer number (1461456000).

Almost surely, 2^117145408128 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 117145408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187066368000).

117145408128 is an abundant number, since it is smaller than the sum of its proper divisors (256987327872).

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

117145408128 is a wasteful number, since it uses less digits than its factorization.

117145408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25583 (or 25571 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

Adding to 117145408128 its reverse (821804541711), we get a palindrome (938949949839).

The spelling of 117145408128 in words is "one hundred seventeen billion, one hundred forty-five million, four hundred eight thousand, one hundred twenty-eight".