114857600 has 192 divisors, whose sum is σ = 334666080. Its totient is φ = 38400000.

The previous prime is 114857591. The next prime is 114857609. The reversal of 114857600 is 6758411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114857591) and next prime (114857609).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (114857609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457475 + ... + 457725.

Almost surely, 2^114857600 is an apocalyptic number.

114857600 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 114857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).

114857600 is an abundant number, since it is smaller than the sum of its proper divisors (219808480).

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

114857600 is a wasteful number, since it uses less digits than its factorization.

114857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 114857600 is about 10717.1638039175. The cubic root of 114857600 is about 486.0936104236.

The spelling of 114857600 in words is "one hundred fourteen million, eight hundred fifty-seven thousand, six hundred".