114776180 has 48 divisors (see below), whose sum is σ = 258143760. Its totient is φ = 42713088.

The previous prime is 114776173. The next prime is 114776213. The reversal of 114776180 is 81677411.

It can be written as a sum of positive squares in 8 ways, for example, as 7695076 + 107081104 = 2774^2 + 10348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114776180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28364 + ... + 32156.

It is an arithmetic number, because the mean of its divisors is an integer number (5377995).

Almost surely, 2^114776180 is an apocalyptic number.

114776180 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 114776180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129071880).

114776180 is an abundant number, since it is smaller than the sum of its proper divisors (143367580).

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

114776180 is a wasteful number, since it uses less digits than its factorization.

114776180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 35.

The square root of 114776180 is about 10713.3645508776. The cubic root of 114776180 is about 485.9787229532.

The spelling of 114776180 in words is "one hundred fourteen million, seven hundred seventy-six thousand, one hundred eighty".