133075710510336 has 324 divisors, whose sum is σ = 421841249755744. Its totient is φ = 40316481976320.

The previous prime is 133075710510331. The next prime is 133075710510389. The reversal of 133075710510336 is 633015017570331.

133075710510336 is a `hidden beast` number, since 1 + 3 + 30 + 7 + 5 + 71 + 0 + 510 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133075710510291 and 133075710510300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133075710510331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1233007671 + ... + 1233115593.

Almost surely, 2^{133075710510336} is an apocalyptic number.

133075710510336 is a gapful number since it is divisible by the number (16) 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 133075710510336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210920624877872).

133075710510336 is an abundant number, since it is smaller than the sum of its proper divisors (288765539245408).

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

133075710510336 is a wasteful number, since it uses less digits than its factorization.

133075710510336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112390 (or 112362 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The spelling of 133075710510336 in words is "one hundred thirty-three trillion, seventy-five billion, seven hundred ten million, five hundred ten thousand, three hundred thirty-six".