114755742140 has 144 divisors (see below), whose sum is σ = 267908135040. Its totient is φ = 41246300160.

The previous prime is 114755742137. The next prime is 114755742151. The reversal of 114755742140 is 41247557411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110447741 + ... + 110448779.

It is an arithmetic number, because the mean of its divisors is an integer number (1860473160).

Almost surely, 2^114755742140 is an apocalyptic number.

114755742140 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 114755742140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954067520).

114755742140 is an abundant number, since it is smaller than the sum of its proper divisors (153152392900).

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

114755742140 is a wasteful number, since it uses less digits than its factorization.

114755742140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 114755742140 in words is "one hundred fourteen billion, seven hundred fifty-five million, seven hundred forty-two thousand, one hundred forty".