115735740120 has 1728 divisors, whose sum is σ = 535450275360. Its totient is φ = 21459271680.

The previous prime is 115735740119. The next prime is 115735740157. The reversal of 115735740120 is 21047537511.

115735740120 is a `hidden beast` number, since 1 + 1 + 5 + 73 + 574 + 0 + 12 + 0 = 666.

115735740120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×115735740120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1193151912 + ... + 1193152008.

Almost surely, 2^115735740120 is an apocalyptic number.

115735740120 is a gapful number since it is divisible by the number (10) 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 115735740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267725137680).

115735740120 is an abundant number, since it is smaller than the sum of its proper divisors (419714535240).

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

115735740120 is a wasteful number, since it uses less digits than its factorization.

115735740120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 115735740120 in words is "one hundred fifteen billion, seven hundred thirty-five million, seven hundred forty thousand, one hundred twenty".