114538600 has 72 divisors (see below), whose sum is σ = 292774230. Its totient is φ = 41641600.

The previous prime is 114538573. The next prime is 114538601. The reversal of 114538600 is 6835411.

It can be written as a sum of positive squares in 3 ways, for example, as 65901924 + 48636676 = 8118^2 + 6974^2 .

It is not an unprimeable number, because it can be changed into a prime (114538601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21834 + ... + 26566.

Almost surely, 2^114538600 is an apocalyptic number.

114538600 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 114538600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146387115).

114538600 is an abundant number, since it is smaller than the sum of its proper divisors (178235630).

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

114538600 is a wasteful number, since it uses less digits than its factorization.

114538600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 114538600 is about 10702.2707870807. The cubic root of 114538600 is about 485.6431754523.

The spelling of 114538600 in words is "one hundred fourteen million, five hundred thirty-eight thousand, six hundred".