133503791616 has 360 divisors, whose sum is σ = 419494931856. Its totient is φ = 40854528000.

The previous prime is 133503791591. The next prime is 133503791633. The reversal of 133503791616 is 616197305331.

133503791616 is a `hidden beast` number, since 13 + 3 + 503 + 79 + 1 + 61 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195466411 + ... + 195467093.

Almost surely, 2^133503791616 is an apocalyptic number.

133503791616 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 133503791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209747465928).

133503791616 is an abundant number, since it is smaller than the sum of its proper divisors (285991140240).

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

133503791616 is a wasteful number, since it uses less digits than its factorization.

133503791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 133503791616 in words is "one hundred thirty-three billion, five hundred three million, seven hundred ninety-one thousand, six hundred sixteen".