114687144 has 256 divisors, whose sum is σ = 387072000. Its totient is φ = 31000320.

The previous prime is 114687143. The next prime is 114687169. The reversal of 114687144 is 441786411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114687099 and 114687108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114687143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1451697 + ... + 1451775.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^114687144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114687144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

114687144 is an abundant number, since it is smaller than the sum of its proper divisors (272384856).

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

114687144 is a wasteful number, since it uses less digits than its factorization.

114687144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 114687144 is about 10709.2083741050. The cubic root of 114687144 is about 485.8530267359.

The spelling of 114687144 in words is "one hundred fourteen million, six hundred eighty-seven thousand, one hundred forty-four".