114146134140 has 48 divisors (see below), whose sum is σ = 322437594528. Its totient is φ = 30169595904.

The previous prime is 114146134133. The next prime is 114146134153. The reversal of 114146134140 is 41431641411.

It is a super-3 number, since 3×114146134140³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114146134098 and 114146134107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8411077 + ... + 8424636.

It is an arithmetic number, because the mean of its divisors is an integer number (6717449886).

Almost surely, 2^114146134140 is an apocalyptic number.

114146134140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114146134140 is an abundant number, since it is smaller than the sum of its proper divisors (208291460388).

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

114146134140 is a wasteful number, since it uses less digits than its factorization.

114146134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16835838 (or 16835836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 114146134140 its reverse (41431641411), we get a palindrome (155577775551).

The spelling of 114146134140 in words is "one hundred fourteen billion, one hundred forty-six million, one hundred thirty-four thousand, one hundred forty".