34125142131040 has 96 divisors (see below), whose sum is σ = 84867356538720. Its totient is φ = 12931097001984.

The previous prime is 34125142130999. The next prime is 34125142131053. The reversal of 34125142131040 is 4013124152143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34125142130993 and 34125142131011.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 77412694 + ... + 77852266.

It is an arithmetic number, because the mean of its divisors is an integer number (884034963945).

Almost surely, 2^{34125142131040} is an apocalyptic number.

It is an amenable number.

34125142131040 is an abundant number, since it is smaller than the sum of its proper divisors (50742214407680).

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

34125142131040 is a wasteful number, since it uses less digits than its factorization.

34125142131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465144 (or 465136 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 34125142131040 its reverse (4013124152143), we get a palindrome (38138266283183).

The spelling of 34125142131040 in words is "thirty-four trillion, one hundred twenty-five billion, one hundred forty-two million, one hundred thirty-one thousand, forty".