133693665840 has 1440 divisors, whose sum is σ = 576699267456. Its totient is φ = 27590492160.

The previous prime is 133693665829. The next prime is 133693665871. The reversal of 133693665840 is 48566396331.

133693665840 is a `hidden beast` number, since 133 + 69 + 366 + 58 + 40 = 666.

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, 1831420044 + ... + 1831420116.

Almost surely, 2^133693665840 is an apocalyptic number.

133693665840 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 133693665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288349633728).

133693665840 is an abundant number, since it is smaller than the sum of its proper divisors (443005601616).

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

133693665840 is a wasteful number, since it uses less digits than its factorization.

133693665840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 133693665840 in words is "one hundred thirty-three billion, six hundred ninety-three million, six hundred sixty-five thousand, eight hundred forty".