128652642 has 48 divisors (see below), whose sum is σ = 290080440. Its totient is φ = 41158656.

The previous prime is 128652637. The next prime is 128652659. The reversal of 128652642 is 246256821.

It is a happy number.

128652642 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 5 + 2 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105698961 + 22953681 = 10281^2 + 4791^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128652597 and 128652606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100108 + ... + 101384.

Almost surely, 2^128652642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128652642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145040220).

128652642 is an abundant number, since it is smaller than the sum of its proper divisors (161427798).

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

128652642 is a wasteful number, since it uses less digits than its factorization.

128652642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1504 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 128652642 is about 11342.5148005193. The cubic root of 128652642 is about 504.8235072558.

The spelling of 128652642 in words is "one hundred twenty-eight million, six hundred fifty-two thousand, six hundred forty-two".