114835000 has 160 divisors (see below), whose sum is σ = 327270240. Its totient is φ = 36864000.

The previous prime is 114834977. The next prime is 114835003. The reversal of 114835000 is 538411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114835003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 594904 + ... + 595096.

It is an arithmetic number, because the mean of its divisors is an integer number (2045439).

Almost surely, 2^114835000 is an apocalyptic number.

114835000 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 114835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163635120).

114835000 is an abundant number, since it is smaller than the sum of its proper divisors (212435240).

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

114835000 is a wasteful number, since it uses less digits than its factorization.

114835000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 114835000 is about 10716.1093686095. The cubic root of 114835000 is about 486.0617262000.

The spelling of 114835000 in words is "one hundred fourteen million, eight hundred thirty-five thousand".