114128352 has 144 divisors (see below), whose sum is σ = 362784240. Its totient is φ = 35085312.

The previous prime is 114128351. The next prime is 114128353. The reversal of 114128352 is 253821411.

It is an interprime number because it is at equal distance from previous prime (114128351) and next prime (114128353).

It is a tau number, because it is divible by the number of its divisors (144).

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 (114128351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100524 + ... + 101652.

It is an arithmetic number, because the mean of its divisors is an integer number (2519335).

Almost surely, 2^114128352 is an apocalyptic number.

114128352 is a gapful number since it is divisible by the number (12) 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 114128352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181392120).

114128352 is an abundant number, since it is smaller than the sum of its proper divisors (248655888).

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

114128352 is a wasteful number, since it uses less digits than its factorization.

114128352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1147 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 114128352 is about 10683.0871942524. The cubic root of 114128352 is about 485.0626652298.

Adding to 114128352 its reverse (253821411), we get a palindrome (367949763).

The spelling of 114128352 in words is "one hundred fourteen million, one hundred twenty-eight thousand, three hundred fifty-two".