114532800 has 168 divisors, whose sum is σ = 380975616. Its totient is φ = 30120960.

The previous prime is 114532793. The next prime is 114532811. The reversal of 114532800 is 8235411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 513489 + ... + 513711.

It is an arithmetic number, because the mean of its divisors is an integer number (2267712).

Almost surely, 2^114532800 is an apocalyptic number.

114532800 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 114532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190487808).

114532800 is an abundant number, since it is smaller than the sum of its proper divisors (266442816).

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

114532800 is a wasteful number, since it uses less digits than its factorization.

114532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114532800 is about 10701.9998131190. Note that the first 3 decimals coincide. The cubic root of 114532800 is about 485.6349779888.

The spelling of 114532800 in words is "one hundred fourteen million, five hundred thirty-two thousand, eight hundred".