114077200 has 60 divisors (see below), whose sum is σ = 279293508. Its totient is φ = 44761600.

The previous prime is 114077167. The next prime is 114077221. The reversal of 114077200 is 2770411.

It can be written as a sum of positive squares in 6 ways, for example, as 1547536 + 112529664 = 1244^2 + 10608^2 .

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, 18510 + ... + 23890.

Almost surely, 2^114077200 is an apocalyptic number.

114077200 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 114077200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139646754).

114077200 is an abundant number, since it is smaller than the sum of its proper divisors (165216308).

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

114077200 is a wasteful number, since it uses less digits than its factorization.

114077200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 114077200 is about 10680.6928614206. The cubic root of 114077200 is about 484.9901865021.

The spelling of 114077200 in words is "one hundred fourteen million, seventy-seven thousand, two hundred".