43102132128 has 360 divisors, whose sum is σ = 142017313284. Its totient is φ = 12809871360.

The previous prime is 43102132123. The next prime is 43102132141. The reversal of 43102132128 is 82123120134.

43102132128 is a `hidden beast` number, since 4 + 310 + 2 + 1 + 321 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41915191824 + 1186940304 = 204732^2 + 34452^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (43102132121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16621200 + ... + 16623792.

Almost surely, 2^43102132128 is an apocalyptic number.

43102132128 is a gapful number since it is divisible by the number (48) 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 43102132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71008656642).

43102132128 is an abundant number, since it is smaller than the sum of its proper divisors (98915181156).

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

43102132128 is a wasteful number, since it uses less digits than its factorization.

43102132128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 43102132128 in words is "forty-three billion, one hundred two million, one hundred thirty-two thousand, one hundred twenty-eight".