128188512 has 72 divisors (see below), whose sum is σ = 369729360. Its totient is φ = 42120960.

The previous prime is 128188447. The next prime is 128188513. The reversal of 128188512 is 215881821.

128188512 is a `hidden beast` number, since 128 + 18 + 8 + 512 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128188513) 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, 17314 + ... + 23582.

It is an arithmetic number, because the mean of its divisors is an integer number (5135130).

Almost surely, 2^128188512 is an apocalyptic number.

128188512 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 128188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184864680).

128188512 is an abundant number, since it is smaller than the sum of its proper divisors (241540848).

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

128188512 is a wasteful number, since it uses less digits than its factorization.

128188512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6345 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 128188512 is about 11322.0365659187. The cubic root of 128188512 is about 504.2157050981.

The spelling of 128188512 in words is "one hundred twenty-eight million, one hundred eighty-eight thousand, five hundred twelve".