133827897888 has 144 divisors (see below), whose sum is σ = 398304781056. Its totient is φ = 42542438400.

The previous prime is 133827897869. The next prime is 133827897893. The reversal of 133827897888 is 888798728331.

133827897888 is a `hidden beast` number, since 13 + 382 + 78 + 97 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2202313 + ... + 2262263.

It is an arithmetic number, because the mean of its divisors is an integer number (2766005424).

Almost surely, 2^133827897888 is an apocalyptic number.

133827897888 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 133827897888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199152390528).

133827897888 is an abundant number, since it is smaller than the sum of its proper divisors (264476883168).

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

133827897888 is a wasteful number, since it uses less digits than its factorization.

133827897888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60327 (or 60316 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 133827897888 in words is "one hundred thirty-three billion, eight hundred twenty-seven million, eight hundred ninety-seven thousand, eight hundred eighty-eight".