114930000 has 150 divisors (see below), whose sum is σ = 402241554. Its totient is φ = 30624000.

The previous prime is 114929999. The next prime is 114930001. The reversal of 114930000 is 39411.

It is an interprime number because it is at equal distance from previous prime (114929999) and next prime (114930001).

It can be written as a sum of positive squares in 5 ways, for example, as 36288576 + 78641424 = 6024^2 + 8868^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114930001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89362 + ... + 90638.

Almost surely, 2^114930000 is an apocalyptic number.

114930000 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 114930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201120777).

114930000 is an abundant number, since it is smaller than the sum of its proper divisors (287311554).

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

114930000 is a wasteful number, since it uses less digits than its factorization.

114930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 114930000 is about 10720.5410311234. The cubic root of 114930000 is about 486.1957246513.

Adding to 114930000 its reverse (39411), we get a palindrome (114969411).

The spelling of 114930000 in words is "one hundred fourteen million, nine hundred thirty thousand".