133803686016 has 1536 divisors, whose sum is σ = 564583219200. Its totient is φ = 29262643200.

The previous prime is 133803686011. The next prime is 133803686021. The reversal of 133803686016 is 610686308331.

133803686016 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 0 + 36 + 8 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (133803686011) and next prime (133803686021).

It is a super-3 number, since 3×133803686016³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133803686011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 679206430 + ... + 679206626.

It is an arithmetic number, because the mean of its divisors is an integer number (367567200).

Almost surely, 2^133803686016 is an apocalyptic number.

133803686016 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 133803686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282291609600).

133803686016 is an abundant number, since it is smaller than the sum of its proper divisors (430779533184).

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

133803686016 is a wasteful number, since it uses less digits than its factorization.

133803686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 133803686016 in words is "one hundred thirty-three billion, eight hundred three million, six hundred eighty-six thousand, sixteen".