114141300 has 288 divisors, whose sum is σ = 421139712. Its totient is φ = 23224320.

The previous prime is 114141283. The next prime is 114141311. The reversal of 114141300 is 3141411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114141300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1010044 + ... + 1010156.

Almost surely, 2^114141300 is an apocalyptic number.

114141300 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 114141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210569856).

114141300 is an abundant number, since it is smaller than the sum of its proper divisors (306998412).

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

114141300 is a wasteful number, since it uses less digits than its factorization.

114141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114141300 is about 10683.6931816671. The cubic root of 114141300 is about 485.0810081855.

Adding to 114141300 its reverse (3141411), we get a palindrome (117282711).

The spelling of 114141300 in words is "one hundred fourteen million, one hundred forty-one thousand, three hundred".