34342144133000 has 96 divisors (see below), whose sum is σ = 88330265576280. Its totient is φ = 12488052368000.

The previous prime is 34342144132987. The next prime is 34342144133009. The reversal of 34342144133000 is 33144124343.

It can be written as a sum of positive squares in 4 ways, for example, as 15449160413764 + 18892983719236 = 3930542^2 + 4346606^2 .

It is not an unprimeable number, because it can be changed into a prime (34342144133009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141788687 + ... + 142030686.

Almost surely, 2^{34342144133000} is an apocalyptic number.

It is an amenable number.

34342144133000 is an abundant number, since it is smaller than the sum of its proper divisors (53988121443280).

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

34342144133000 is a wasteful number, since it uses less digits than its factorization.

34342144133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283819416 (or 283819391 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34342144133000 its reverse (33144124343), we get a palindrome (34375288257343).

The spelling of 34342144133000 in words is "thirty-four trillion, three hundred forty-two billion, one hundred forty-four million, one hundred thirty-three thousand".