128845152 has 72 divisors (see below), whose sum is σ = 367501680. Its totient is φ = 42819840.

The previous prime is 128845141. The next prime is 128845153. The reversal of 128845152 is 251548821.

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

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128845153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181374 + ... + 182082.

It is an arithmetic number, because the mean of its divisors is an integer number (5104190).

Almost surely, 2^128845152 is an apocalyptic number.

128845152 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 128845152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183750840).

128845152 is an abundant number, since it is smaller than the sum of its proper divisors (238656528).

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

128845152 is a wasteful number, since it uses less digits than its factorization.

128845152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1345 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 128845152 is about 11350.9978415997. The cubic root of 128845152 is about 505.0751801284.

The spelling of 128845152 in words is "one hundred twenty-eight million, eight hundred forty-five thousand, one hundred fifty-two".