114135771720 has 128 divisors (see below), whose sum is σ = 360673459200. Its totient is φ = 28814724864.

The previous prime is 114135771709. The next prime is 114135771791. The reversal of 114135771720 is 27177531411.

It is a super-2 number, since 2×114135771720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3501819 + ... + 3534261.

It is an arithmetic number, because the mean of its divisors is an integer number (2817761400).

Almost surely, 2^114135771720 is an apocalyptic number.

114135771720 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 114135771720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180336729600).

114135771720 is an abundant number, since it is smaller than the sum of its proper divisors (246537687480).

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

114135771720 is a wasteful number, since it uses less digits than its factorization.

114135771720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34019 (or 34015 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 114135771720 in words is "one hundred fourteen billion, one hundred thirty-five million, seven hundred seventy-one thousand, seven hundred twenty".