133627827852288 has 704 divisors, whose sum is σ = 498478627584000. Its totient is φ = 34350653767680.

The previous prime is 133627827852251. The next prime is 133627827852293. The reversal of 133627827852288 is 882258728726331.

133627827852288 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 2 + 78 + 27 + 8 + 522 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206179363 + ... + 206826461.

Almost surely, 2^{133627827852288} is an apocalyptic number.

133627827852288 is a gapful number since it is divisible by the number (18) 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 133627827852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249239313792000).

133627827852288 is an abundant number, since it is smaller than the sum of its proper divisors (364850799731712).

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

133627827852288 is a wasteful number, since it uses less digits than its factorization.

133627827852288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647243 (or 647219 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 133627827852288 in words is "one hundred thirty-three trillion, six hundred twenty-seven billion, eight hundred twenty-seven million, eight hundred fifty-two thousand, two hundred eighty-eight".