342305134144 has 112 divisors (see below), whose sum is σ = 707395659120. Its totient is φ = 164207001600.

The previous prime is 342305134141. The next prime is 342305134153. The reversal of 342305134144 is 441431503243.

It can be written as a sum of positive squares in 8 ways, for example, as 134624415744 + 207680718400 = 366912^2 + 455720^2 .

It is a super-2 number, since 2×342305134144² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342305134141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61463392 + ... + 61468960.

Almost surely, 2^342305134144 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 342305134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353697829560).

342305134144 is an abundant number, since it is smaller than the sum of its proper divisors (365090524976).

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

342305134144 is a wasteful number, since it uses less digits than its factorization.

342305134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 342305134144 its reverse (441431503243), we get a palindrome (783736637387).

The spelling of 342305134144 in words is "three hundred forty-two billion, three hundred five million, one hundred thirty-four thousand, one hundred forty-four".