133089820416 has 216 divisors, whose sum is σ = 457827506640. Its totient is φ = 38025566208.

The previous prime is 133089820399. The next prime is 133089820463. The reversal of 133089820416 is 614028980331.

133089820416 is a `hidden beast` number, since 133 + 0 + 89 + 8 + 20 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142210 + ... + 535166.

It is an arithmetic number, because the mean of its divisors is an integer number (2119571790).

Almost surely, 2^133089820416 is an apocalyptic number.

133089820416 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 133089820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228913753320).

133089820416 is an abundant number, since it is smaller than the sum of its proper divisors (324737686224).

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

133089820416 is an equidigital number, since it uses as much as digits as its factorization.

133089820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392996 (or 392969 counting only the distinct ones).

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

The spelling of 133089820416 in words is "one hundred thirty-three billion, eighty-nine million, eight hundred twenty thousand, four hundred sixteen".