117736138128 has 240 divisors, whose sum is σ = 381193637760. Its totient is φ = 30567161856.

The previous prime is 117736138123. The next prime is 117736138147. The reversal of 117736138128 is 821831637711.

117736138128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 343127²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (117736138123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4791538 + ... + 4816046.

It is an arithmetic number, because the mean of its divisors is an integer number (1588306824).

Almost surely, 2^117736138128 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 117736138128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190596818880).

117736138128 is an abundant number, since it is smaller than the sum of its proper divisors (263457499632).

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

117736138128 is a wasteful number, since it uses less digits than its factorization.

117736138128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24602 (or 24567 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The spelling of 117736138128 in words is "one hundred seventeen billion, seven hundred thirty-six million, one hundred thirty-eight thousand, one hundred twenty-eight".