117306003152 has 80 divisors (see below), whose sum is σ = 249681592272. Its totient is φ = 53059829760.

The previous prime is 117306003151. The next prime is 117306003187. The reversal of 117306003152 is 251300603711.

117306003152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32552819776 + 84753183376 = 180424^2 + 291124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117306003151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3497888 + ... + 3531264.

Almost surely, 2^117306003152 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 117306003152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124840796136).

117306003152 is an abundant number, since it is smaller than the sum of its proper divisors (132375589120).

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

117306003152 is a wasteful number, since it uses less digits than its factorization.

117306003152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33736 (or 33730 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 117306003152 its reverse (251300603711), we get a palindrome (368606606863).

The spelling of 117306003152 in words is "one hundred seventeen billion, three hundred six million, three thousand, one hundred fifty-two".