133143478272 has 960 divisors, whose sum is σ = 496590438400. Its totient is φ = 34398535680.

The previous prime is 133143478271. The next prime is 133143478277. The reversal of 133143478272 is 272874341331.

133143478272 is a `hidden beast` number, since 1 + 3 + 31 + 4 + 347 + 8 + 272 = 666.

It is a super-2 number, since 2×133143478272² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133143478271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1823883228 + ... + 1823883300.

Almost surely, 2^133143478272 is an apocalyptic number.

133143478272 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 133143478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248295219200).

133143478272 is an abundant number, since it is smaller than the sum of its proper divisors (363446960128).

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

133143478272 is an equidigital number, since it uses as much as digits as its factorization.

133143478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 135 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 133143478272 in words is "one hundred thirty-three billion, one hundred forty-three million, four hundred seventy-eight thousand, two hundred seventy-two".