133163315712 has 540 divisors, whose sum is σ = 464809226310. Its totient is φ = 37999632384.

The previous prime is 133163315669. The next prime is 133163315737. The reversal of 133163315712 is 217513361331.

133163315712 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 633 + 1 + 5 + 7 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89625989376 + 43537326336 = 299376^2 + 208656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 164601964 + ... + 164602772.

Almost surely, 2^133163315712 is an apocalyptic number.

133163315712 is a gapful number since it is divisible by the number (12) 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 133163315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232404613155).

133163315712 is an abundant number, since it is smaller than the sum of its proper divisors (331645910598).

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

133163315712 is an frugal number, since it uses more digits than its factorization.

133163315712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 821 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The spelling of 133163315712 in words is "one hundred thirty-three billion, one hundred sixty-three million, three hundred fifteen thousand, seven hundred twelve".