133340918634 has 256 divisors, whose sum is σ = 397157990400. Its totient is φ = 32112158400.

The previous prime is 133340918603. The next prime is 133340918657. The reversal of 133340918634 is 436819043331.

133340918634 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 0 + 9 + 1 + 8 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133340918634.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3695139 + ... + 3731049.

It is an arithmetic number, because the mean of its divisors is an integer number (1551398400).

Almost surely, 2^133340918634 is an apocalyptic number.

133340918634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133340918634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198578995200).

133340918634 is an abundant number, since it is smaller than the sum of its proper divisors (263817071766).

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

133340918634 is a wasteful number, since it uses less digits than its factorization.

133340918634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36006 (or 36000 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 133340918634 in words is "one hundred thirty-three billion, three hundred forty million, nine hundred eighteen thousand, six hundred thirty-four".