133286689261440 has 1536 divisors, whose sum is σ = 570256318195200. Its totient is φ = 29320571289600.

The previous prime is 133286689261409. The next prime is 133286689261457. The reversal of 133286689261440 is 44162986682331.

133286689261440 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 8 + 6 + 6 + 8 + 9 + 2 + 614 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1312071450 + ... + 1312173030.

It is an arithmetic number, because the mean of its divisors is an integer number (371260623825).

Almost surely, 2^{133286689261440} is an apocalyptic number.

133286689261440 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 133286689261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285128159097600).

133286689261440 is an abundant number, since it is smaller than the sum of its proper divisors (436969628933760).

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

133286689261440 is a wasteful number, since it uses less digits than its factorization.

133286689261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101698 (or 101674 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 133286689261440 in words is "one hundred thirty-three trillion, two hundred eighty-six billion, six hundred eighty-nine million, two hundred sixty-one thousand, four hundred forty".