114188130 has 192 divisors, whose sum is σ = 361670400. Its totient is φ = 25909632.

The previous prime is 114188117. The next prime is 114188143. The reversal of 114188130 is 31881411.

It is an interprime number because it is at equal distance from previous prime (114188117) and next prime (114188143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114188094 and 114188103.

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, 833422 + ... + 833558.

It is an arithmetic number, because the mean of its divisors is an integer number (1883700).

Almost surely, 2^114188130 is an apocalyptic number.

114188130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114188130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200).

114188130 is an abundant number, since it is smaller than the sum of its proper divisors (247482270).

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

114188130 is an equidigital number, since it uses as much as digits as its factorization.

114188130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 114188130 is about 10685.8846147617. The cubic root of 114188130 is about 485.1473389458.

The spelling of 114188130 in words is "one hundred fourteen million, one hundred eighty-eight thousand, one hundred thirty".