114677200 has 120 divisors (see below), whose sum is σ = 305828640. Its totient is φ = 40972800.

The previous prime is 114677197. The next prime is 114677221. The reversal of 114677200 is 2776411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294606 + ... + 294994.

It is an arithmetic number, because the mean of its divisors is an integer number (2548572).

Almost surely, 2^114677200 is an apocalyptic number.

114677200 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 114677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152914320).

114677200 is an abundant number, since it is smaller than the sum of its proper divisors (191151440).

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

114677200 is a wasteful number, since it uses less digits than its factorization.

114677200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 114677200 is about 10708.7440906952. The cubic root of 114677200 is about 485.8389842955.

It can be divided in two parts, 11 and 4677200, that added together give a triangular number (4677211 = T₃₀₅₈).

The spelling of 114677200 in words is "one hundred fourteen million, six hundred seventy-seven thousand, two hundred".