342010561033134 has 128 divisors (see below), whose sum is σ = 870807808512000. Its totient is φ = 97468865464320.

The previous prime is 342010561033133. The next prime is 342010561033177. The reversal of 342010561033134 is 431330165010243.

342010561033134 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 1 + 0 + 5 + 610 + 3 + 3 + 1 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342010561033133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539568939 + ... + 540202425.

It is an arithmetic number, because the mean of its divisors is an integer number (6803186004000).

Almost surely, 2^{342010561033134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342010561033134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435403904256000).

342010561033134 is an abundant number, since it is smaller than the sum of its proper divisors (528797247478866).

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

342010561033134 is a wasteful number, since it uses less digits than its factorization.

342010561033134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637135 (or 637129 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 342010561033134 in words is "three hundred forty-two trillion, ten billion, five hundred sixty-one million, thirty-three thousand, one hundred thirty-four".