114132134120 has 32 divisors (see below), whose sum is σ = 257862872520. Its totient is φ = 45463418880.

The previous prime is 114132134117. The next prime is 114132134141. The reversal of 114132134120 is 21431231411.

114132134120 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 4 ways, for example, as 91793244676 + 22338889444 = 302974^2 + 149462^2 .

It is a super-2 number, since 2×114132134120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5910077 + ... + 5929356.

Almost surely, 2^114132134120 is an apocalyptic number.

114132134120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114132134120 is an abundant number, since it is smaller than the sum of its proper divisors (143730738400).

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

114132134120 is a wasteful number, since it uses less digits than its factorization.

114132134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11839685 (or 11839681 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 114132134120 its reverse (21431231411), we get a palindrome (135563365531).

The spelling of 114132134120 in words is "one hundred fourteen billion, one hundred thirty-two million, one hundred thirty-four thousand, one hundred twenty".