128072132640 has 240 divisors, whose sum is σ = 475777653120. Its totient is φ = 32355002880.

The previous prime is 128072132609. The next prime is 128072132651. The reversal of 128072132640 is 46231270821.

It is a happy number.

128072132640 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 7 + 2 + 1 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 128072132595 and 128072132604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13816 + ... + 506295.

It is an arithmetic number, because the mean of its divisors is an integer number (1982406888).

Almost surely, 2^128072132640 is an apocalyptic number.

128072132640 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 128072132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237888826560).

128072132640 is an abundant number, since it is smaller than the sum of its proper divisors (347705520480).

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

128072132640 is a wasteful number, since it uses less digits than its factorization.

128072132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520157 (or 520140 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 128072132640 in words is "one hundred twenty-eight billion, seventy-two million, one hundred thirty-two thousand, six hundred forty".