133147780272000 has 2304 divisors, whose sum is σ = 550217308680000. Its totient is φ = 30783371673600.

The previous prime is 133147780271993. The next prime is 133147780272041. The reversal of 133147780272000 is 272087741331.

133147780272000 is a `hidden beast` number, since 1 + 3 + 31 + 477 + 80 + 2 + 72 + 0 + 0 + 0 = 666.

133147780272000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26112525451 + ... + 26112530549.

Almost surely, 2^{133147780272000} is an apocalyptic number.

133147780272000 is a gapful number since it is divisible by the number (10) 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 133147780272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275108654340000).

133147780272000 is an abundant number, since it is smaller than the sum of its proper divisors (417069528408000).

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

133147780272000 is a wasteful number, since it uses less digits than its factorization.

133147780272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 133147780272000 in words is "one hundred thirty-three trillion, one hundred forty-seven billion, seven hundred eighty million, two hundred seventy-two thousand".