133048092816 has 60 divisors (see below), whose sum is σ = 374407125820. Its totient is φ = 44104331520.

The previous prime is 133048092773. The next prime is 133048092829. The reversal of 133048092816 is 618290840331.

133048092816 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 480 + 92 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52164732816 + 80883360000 = 228396^2 + 284400^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2526271 + ... + 2578398.

Almost surely, 2^133048092816 is an apocalyptic number.

133048092816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133048092816 is an abundant number, since it is smaller than the sum of its proper divisors (241359033004).

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

133048092816 is a wasteful number, since it uses less digits than its factorization.

133048092816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104864 (or 5104855 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 133048092816 in words is "one hundred thirty-three billion, forty-eight million, ninety-two thousand, eight hundred sixteen".