114245134000 has 160 divisors (see below), whose sum is σ = 293082259392. Its totient is φ = 42923520000.

The previous prime is 114245133917. The next prime is 114245134093. The reversal of 114245134000 is 431542411.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 18390895 + ... + 18397105.

Almost surely, 2^114245134000 is an apocalyptic number.

114245134000 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 114245134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146541129696).

114245134000 is an abundant number, since it is smaller than the sum of its proper divisors (178837125392).

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

114245134000 is a wasteful number, since it uses less digits than its factorization.

114245134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6776 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 114245134000 its reverse (431542411), we get a palindrome (114676676411).

The spelling of 114245134000 in words is "one hundred fourteen billion, two hundred forty-five million, one hundred thirty-four thousand".