133206178816 has 176 divisors, whose sum is σ = 287306832384. Its totient is φ = 61573349376.

The previous prime is 133206178783. The next prime is 133206178829. The reversal of 133206178816 is 618871602331.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 104311170 + ... + 104312446.

It is an arithmetic number, because the mean of its divisors is an integer number (1632425184).

Almost surely, 2^133206178816 is an apocalyptic number.

133206178816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133206178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143653416192).

133206178816 is an abundant number, since it is smaller than the sum of its proper divisors (154100653568).

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

133206178816 is a wasteful number, since it uses less digits than its factorization.

133206178816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 133206178816 in words is "one hundred thirty-three billion, two hundred six million, one hundred seventy-eight thousand, eight hundred sixteen".