133363190016 has 720 divisors, whose sum is σ = 482776448000. Its totient is φ = 35916908544.

The previous prime is 133363190011. The next prime is 133363190057. The reversal of 133363190016 is 610091363331.

It is a happy number.

133363190016 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 631 + 9 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133363190011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 670166685 + ... + 670166883.

Almost surely, 2^133363190016 is an apocalyptic number.

133363190016 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 133363190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241388224000).

133363190016 is an abundant number, since it is smaller than the sum of its proper divisors (349413257984).

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

133363190016 is an frugal number, since it uses more digits than its factorization.

133363190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 133363190016 in words is "one hundred thirty-three billion, three hundred sixty-three million, one hundred ninety thousand, sixteen".