114552144 has 280 divisors, whose sum is σ = 403343232. Its totient is φ = 30792960.

The previous prime is 114552143. The next prime is 114552157. The reversal of 114552144 is 441255411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114552143) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1877874 + ... + 1877934.

Almost surely, 2^114552144 is an apocalyptic number.

114552144 is a gapful number since it is divisible by the number (14) 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 114552144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201671616).

114552144 is an abundant number, since it is smaller than the sum of its proper divisors (288791088).

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

114552144 is an equidigital number, since it uses as much as digits as its factorization.

114552144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 114552144 is about 10702.9035312853. The cubic root of 114552144 is about 485.6623168652.

The spelling of 114552144 in words is "one hundred fourteen million, five hundred fifty-two thousand, one hundred forty-four".