114127600 has 60 divisors (see below), whose sum is σ = 280919520. Its totient is φ = 44531200.

The previous prime is 114127567. The next prime is 114127621. The reversal of 114127600 is 6721411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12921 + ... + 19879.

It is an arithmetic number, because the mean of its divisors is an integer number (4681992).

Almost surely, 2^114127600 is an apocalyptic number.

114127600 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 114127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140459760).

114127600 is an abundant number, since it is smaller than the sum of its proper divisors (166791920).

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

114127600 is a wasteful number, since it uses less digits than its factorization.

114127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 114127600 is about 10683.0519983757. The cubic root of 114127600 is about 485.0615998565.

The spelling of 114127600 in words is "one hundred fourteen million, one hundred twenty-seven thousand, six hundred".