85142437834756 has 27 divisors (see below), whose sum is σ = 149649050248383. Its totient is φ = 42386369097600.

The previous prime is 85142437834709. The next prime is 85142437834801. The reversal of 85142437834756 is 65743873424158.

It is a happy number.

The square root of 85142437834756 is 9227266.

It is a perfect power (a square), and thus also a powerful number.

85142437834756 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67158188900100 + 17984248934656 = 8195010^2 + 4240784^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85142437834691 and 85142437834700.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4299896056 + ... + 4299915856.

Almost surely, 2^{85142437834756} is an apocalyptic number.

85142437834756 is the 9227266-th square number.

It is an amenable number.

85142437834756 is a deficient number, since it is larger than the sum of its proper divisors (64506612413627).

85142437834756 is an frugal number, since it uses more digits than its factorization.

85142437834756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40072 (or 20036 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 67.

The spelling of 85142437834756 in words is "eighty-five trillion, one hundred forty-two billion, four hundred thirty-seven million, eight hundred thirty-four thousand, seven hundred fifty-six".