133214305536 has 360 divisors, whose sum is σ = 429631466880. Its totient is φ = 40811433984.

The previous prime is 133214305531. The next prime is 133214305571. The reversal of 133214305536 is 635503412331.

133214305536 is a `hidden beast` number, since 1 + 332 + 14 + 305 + 5 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133214305536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133214305531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70895445 + ... + 70897323.

Almost surely, 2^133214305536 is an apocalyptic number.

133214305536 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 133214305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214815733440).

133214305536 is an abundant number, since it is smaller than the sum of its proper divisors (296417161344).

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

133214305536 is a wasteful number, since it uses less digits than its factorization.

133214305536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 133214305536 its reverse (635503412331), we get a palindrome (768717717867).

The spelling of 133214305536 in words is "one hundred thirty-three billion, two hundred fourteen million, three hundred five thousand, five hundred thirty-six".