342135552528 has 240 divisors, whose sum is σ = 1211591786496. Its totient is φ = 87539823360.

The previous prime is 342135552497. The next prime is 342135552613. The reversal of 342135552528 is 825255531243.

342135552528 is a `hidden beast` number, since 3 + 4 + 21 + 3 + 55 + 52 + 528 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512625 + ... + 973167.

Almost surely, 2^342135552528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342135552528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605795893248).

342135552528 is an abundant number, since it is smaller than the sum of its proper divisors (869456233968).

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

342135552528 is a wasteful number, since it uses less digits than its factorization.

342135552528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460642 (or 460633 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 342135552528 in words is "three hundred forty-two billion, one hundred thirty-five million, five hundred fifty-two thousand, five hundred twenty-eight".