133987683639744 has 336 divisors, whose sum is σ = 434925050676480. Its totient is φ = 40560972963840.

The previous prime is 133987683639679. The next prime is 133987683639767. The reversal of 133987683639744 is 447936386789331.

133987683639744 is a `hidden beast` number, since 1 + 3 + 3 + 98 + 76 + 8 + 36 + 397 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167765392 + ... + 168562160.

It is an arithmetic number, because the mean of its divisors is an integer number (1294419793680).

Almost surely, 2^{133987683639744} 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 133987683639744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217462525338240).

133987683639744 is an abundant number, since it is smaller than the sum of its proper divisors (300937367036736).

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

133987683639744 is an equidigital number, since it uses as much as digits as its factorization.

133987683639744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797790 (or 797768 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 81.

The spelling of 133987683639744 in words is "one hundred thirty-three trillion, nine hundred eighty-seven billion, six hundred eighty-three million, six hundred thirty-nine thousand, seven hundred forty-four".