133401821184 has 540 divisors, whose sum is σ = 429516782604. Its totient is φ = 41278242816.

The previous prime is 133401821183. The next prime is 133401821213. The reversal of 133401821184 is 481128104331.

133401821184 is a `hidden beast` number, since 1 + 33 + 401 + 8 + 211 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90403651584 + 42998169600 = 300672^2 + 207360^2 .

It is a super-2 number, since 2×133401821184² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133401821183) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1827422172 + ... + 1827422244.

Almost surely, 2^133401821184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133401821184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214758391302).

133401821184 is an abundant number, since it is smaller than the sum of its proper divisors (296114961420).

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

133401821184 is an frugal number, since it uses more digits than its factorization.

133401821184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 133401821184 in words is "one hundred thirty-three billion, four hundred one million, eight hundred twenty-one thousand, one hundred eighty-four".