133934958012240 has 1440 divisors, whose sum is σ = 568756185274368. Its totient is φ = 27647972352000.

The previous prime is 133934958012199. The next prime is 133934958012259. The reversal of 133934958012240 is 42210859439331.

It is a happy number.

133934958012240 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 3 + 4 + 9 + 580 + 12 + 2 + 40 = 666.

It is a congruent number.

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, 102947699590 + ... + 102947700890.

Almost surely, 2^{133934958012240} is an apocalyptic number.

133934958012240 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 133934958012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284378092637184).

133934958012240 is an abundant number, since it is smaller than the sum of its proper divisors (434821227262128).

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

133934958012240 is a wasteful number, since it uses less digits than its factorization.

133934958012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 133934958012240 in words is "one hundred thirty-three trillion, nine hundred thirty-four billion, nine hundred fifty-eight million, twelve thousand, two hundred forty".