128075947200 has 336 divisors, whose sum is σ = 477748965760. Its totient is φ = 33358832640.

The previous prime is 128075947193. The next prime is 128075947229. The reversal of 128075947200 is 2749570821.

It is a happy number.

128075947200 is a `hidden beast` number, since 128 + 0 + 7 + 59 + 472 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823127 + ... + 1892073.

Almost surely, 2^128075947200 is an apocalyptic number.

128075947200 is a gapful number since it is divisible by the number (10) 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 128075947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238874482880).

128075947200 is an abundant number, since it is smaller than the sum of its proper divisors (349673018560).

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

128075947200 is a wasteful number, since it uses less digits than its factorization.

128075947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69021 (or 69000 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 128075947200 in words is "one hundred twenty-eight billion, seventy-five million, nine hundred forty-seven thousand, two hundred".