128731752 has 48 divisors (see below), whose sum is σ = 369160740. Its totient is φ = 40386048.

The previous prime is 128731751. The next prime is 128731763. The reversal of 128731752 is 257137821.

It can be written as a sum of positive squares in 2 ways, for example, as 128731716 + 36 = 11346^2 + 6^2 .

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

It is not an unprimeable number, because it can be changed into a prime (128731751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51363 + ... + 53810.

Almost surely, 2^128731752 is an apocalyptic number.

128731752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128731752 is an abundant number, since it is smaller than the sum of its proper divisors (240428988).

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

128731752 is a wasteful number, since it uses less digits than its factorization.

128731752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105202 (or 105195 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 128731752 is about 11346.0015864621. The cubic root of 128731752 is about 504.9269599949.

Subtracting from 128731752 its sum of digits (36), we obtain a square (128731716 = 11346²).

The spelling of 128731752 in words is "one hundred twenty-eight million, seven hundred thirty-one thousand, seven hundred fifty-two".