128575307252736 has 1848 divisors, whose sum is σ = 432379230629976. Its totient is φ = 38027581194240.

The previous prime is 128575307252723. The next prime is 128575307252759. The reversal of 128575307252736 is 637252703575821.

128575307252736 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 7 + 5 + 3 + 0 + 72 + 527 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25950303092736 + 102625004160000 = 5094144^2 + 10130400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1919034436575 + ... + 1919034436641.

Almost surely, 2^{128575307252736} is an apocalyptic number.

128575307252736 is a gapful number since it is divisible by the number (16) 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 128575307252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216189615314988).

128575307252736 is an abundant number, since it is smaller than the sum of its proper divisors (303803923377240).

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

128575307252736 is an frugal number, since it uses more digits than its factorization.

128575307252736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 128575307252736 in words is "one hundred twenty-eight trillion, five hundred seventy-five billion, three hundred seven million, two hundred fifty-two thousand, seven hundred thirty-six".