133967314080625 has 45 divisors (see below), whose sum is σ = 167899122764373. Its totient is φ = 106858795416000.

The previous prime is 133967314080577. The next prime is 133967314080631. The reversal of 133967314080625 is 526080413769331.

The square root of 133967314080625 is 11574425.

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

It can be written as a sum of positive squares in 22 ways, for example, as 41907587590449 + 92059726490176 = 6473607^2 + 9594776^2 .

It is a de Polignac number, because none of the positive numbers 2^k-133967314080625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133967314080625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 188952487771 + ... + 188952488479.

It is a 2-persistent number, because it is pandigital, and so is 2⋅133967314080625 = 267934628161250, but 3⋅133967314080625 = 401901942241875 is not.

Almost surely, 2^{133967314080625} is an apocalyptic number.

133967314080625 is the 11574425-th square number.

133967314080625 is the 5787213-rd centered octagonal number.

It is an amenable number.

133967314080625 is a deficient number, since it is larger than the sum of its proper divisors (33931808683748).

133967314080625 is an frugal number, since it uses more digits than its factorization.

133967314080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 133967314080625 in words is "one hundred thirty-three trillion, nine hundred sixty-seven billion, three hundred fourteen million, eighty thousand, six hundred twenty-five".