133271563868416 has 144 divisors (see below), whose sum is σ = 270846662688000. Its totient is φ = 65439994281984.

The previous prime is 133271563868347. The next prime is 133271563868437. The reversal of 133271563868416 is 614868365172331.

It is a super-2 number, since 2×133271563868416² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1679522310 + ... + 1679601658.

It is an arithmetic number, because the mean of its divisors is an integer number (1880879602000).

Almost surely, 2^{133271563868416} is an apocalyptic number.

133271563868416 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 133271563868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135423331344000).

133271563868416 is an abundant number, since it is smaller than the sum of its proper divisors (137575098819584).

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

133271563868416 is an equidigital number, since it uses as much as digits as its factorization.

133271563868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79984 (or 79970 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 64.

The spelling of 133271563868416 in words is "one hundred thirty-three trillion, two hundred seventy-one billion, five hundred sixty-three million, eight hundred sixty-eight thousand, four hundred sixteen".