133057678413969 has 81 divisors (see below), whose sum is σ = 198437369282971. Its totient is φ = 85913149224000.

The previous prime is 133057678413929. The next prime is 133057678414061. The reversal of 133057678413969 is 969314876750331.

The square root of 133057678413969 is 11535063.

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

133057678413969 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 57 + 6 + 78 + 413 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6411464575569 + 126646213838400 = 2532087^2 + 11253720^2 .

It is not a de Polignac number, because 133057678413969 - 2¹³ = 133057678405777 is a prime.

It is a super-2 number, since 2×133057678413969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133057678413897 and 133057678413906.

It is not an unprimeable number, because it can be changed into a prime (133057678413929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 270993234814 + ... + 270993235304.

Almost surely, 2^{133057678413969} is an apocalyptic number.

133057678413969 is the 11535063-rd square number.

133057678413969 is the 5767532-nd centered octagonal number.

It is an amenable number.

133057678413969 is a deficient number, since it is larger than the sum of its proper divisors (65379690869002).

133057678413969 is an frugal number, since it uses more digits than its factorization.

133057678413969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 133057678413969 in words is "one hundred thirty-three trillion, fifty-seven billion, six hundred seventy-eight million, four hundred thirteen thousand, nine hundred sixty-nine".