312142134133434 has 96 divisors (see below), whose sum is σ = 687707746488000. Its totient is φ = 94380391607040.

The previous prime is 312142134133363. The next prime is 312142134133447. The reversal of 312142134133434 is 434331431241213.

It is a junction number, because it is equal to n+sod(n) for n = 312142134133392 and 312142134133401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937143777 + ... + 937476795.

It is an arithmetic number, because the mean of its divisors is an integer number (7163622359250).

Almost surely, 2^{312142134133434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312142134133434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343853873244000).

312142134133434 is an abundant number, since it is smaller than the sum of its proper divisors (375565612354566).

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

312142134133434 is a wasteful number, since it uses less digits than its factorization.

312142134133434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335884 (or 335873 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

Adding to 312142134133434 its reverse (434331431241213), we get a palindrome (746473565374647).

The spelling of 312142134133434 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred thirty-four".