133936137984 has 288 divisors, whose sum is σ = 412834496256. Its totient is φ = 38098370560.

The previous prime is 133936137931. The next prime is 133936137991. The reversal of 133936137984 is 489731639331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67067674 + ... + 67069670.

It is an arithmetic number, because the mean of its divisors is an integer number (1433453112).

Almost surely, 2^133936137984 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 133936137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206417248128).

133936137984 is an abundant number, since it is smaller than the sum of its proper divisors (278898358272).

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

133936137984 is a wasteful number, since it uses less digits than its factorization.

133936137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2497 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 57.

The spelling of 133936137984 in words is "one hundred thirty-three billion, nine hundred thirty-six million, one hundred thirty-seven thousand, nine hundred eighty-four".