114126768 has 240 divisors, whose sum is σ = 394617600. Its totient is φ = 30067200.

The previous prime is 114126757. The next prime is 114126809. The reversal of 114126768 is 867621411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 1129918 + ... + 1130018.

It is an arithmetic number, because the mean of its divisors is an integer number (1644240).

Almost surely, 2^114126768 is an apocalyptic number.

114126768 is a gapful number since it is divisible by the number (18) 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 114126768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

114126768 is an abundant number, since it is smaller than the sum of its proper divisors (280490832).

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

114126768 is a wasteful number, since it uses less digits than its factorization.

114126768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 114126768 is about 10683.0130581218. The cubic root of 114126768 is about 485.0604211400.

The spelling of 114126768 in words is "one hundred fourteen million, one hundred twenty-six thousand, seven hundred sixty-eight".