128017152 has 72 divisors (see below), whose sum is σ = 378589680. Its totient is φ = 42670080.

The previous prime is 128017133. The next prime is 128017159. The reversal of 128017152 is 251710821.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×128017152² = 32776782412382208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (128017159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2349 + ... + 16172.

It is an arithmetic number, because the mean of its divisors is an integer number (5258190).

Almost surely, 2^128017152 is an apocalyptic number.

128017152 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 128017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189294840).

128017152 is an abundant number, since it is smaller than the sum of its proper divisors (250572528).

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

128017152 is an equidigital number, since it uses as much as digits as its factorization.

128017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18546 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 128017152 is about 11314.4664920623. The cubic root of 128017152 is about 503.9909295420.

Adding to 128017152 its reverse (251710821), we get a palindrome (379727973).

The spelling of 128017152 in words is "one hundred twenty-eight million, seventeen thousand, one hundred fifty-two".