134840032972008 has 1536 divisors, whose sum is σ = 464544783360000. Its totient is φ = 32316931584000.

The previous prime is 134840032971979. The next prime is 134840032972147. The reversal of 134840032972008 is 800279230048431.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 295054776516 + ... + 295054776972.

It is an arithmetic number, because the mean of its divisors is an integer number (302438010000).

Almost surely, 2^{134840032972008} 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 134840032972008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232272391680000).

134840032972008 is an abundant number, since it is smaller than the sum of its proper divisors (329704750387992).

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

134840032972008 is a wasteful number, since it uses less digits than its factorization.

134840032972008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 134840032972008 in words is "one hundred thirty-four trillion, eight hundred forty billion, thirty-two million, nine hundred seventy-two thousand, eight".