114180096 has 120 divisors (see below), whose sum is σ = 320854464. Its totient is φ = 36044800.

The previous prime is 114180091. The next prime is 114180107. The reversal of 114180096 is 690081411.

It is not an unprimeable number, because it can be changed into a prime (114180091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130446 + ... + 1130546.

Almost surely, 2^114180096 is an apocalyptic number.

114180096 is a gapful number since it is divisible by the number (16) 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 114180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160427232).

114180096 is an abundant number, since it is smaller than the sum of its proper divisors (206674368).

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

114180096 is an equidigital number, since it uses as much as digits as its factorization.

114180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 114180096 is about 10685.5086916815. The cubic root of 114180096 is about 485.1359607487.

The spelling of 114180096 in words is "one hundred fourteen million, one hundred eighty thousand, ninety-six".