114135340000 has 240 divisors, whose sum is σ = 310673252736. Its totient is φ = 40913600000.

The previous prime is 114135339977. The next prime is 114135340037. The reversal of 114135340000 is 43531411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15616347 + ... + 15623653.

Almost surely, 2^114135340000 is an apocalyptic number.

114135340000 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 114135340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155336626368).

114135340000 is an abundant number, since it is smaller than the sum of its proper divisors (196537912736).

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

114135340000 is an equidigital number, since it uses as much as digits as its factorization.

114135340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 114135340000 its reverse (43531411), we get a palindrome (114178871411).

The spelling of 114135340000 in words is "one hundred fourteen billion, one hundred thirty-five million, three hundred forty thousand".