133998618383136 has 288 divisors, whose sum is σ = 428425906708800. Its totient is φ = 40953625795584.

The previous prime is 133998618383117. The next prime is 133998618383143. The reversal of 133998618383136 is 631383816899331.

133998618383136 is a `hidden beast` number, since 1 + 3 + 39 + 9 + 86 + 1 + 8 + 383 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10613911 + ... + 19510313.

It is an arithmetic number, because the mean of its divisors is an integer number (1487589953850).

Almost surely, 2^{133998618383136} is an apocalyptic number.

133998618383136 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 133998618383136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214212953354400).

133998618383136 is an abundant number, since it is smaller than the sum of its proper divisors (294427288325664).

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

133998618383136 is a wasteful number, since it uses less digits than its factorization.

133998618383136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896590 (or 8896570 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 133998618383136 in words is "one hundred thirty-three trillion, nine hundred ninety-eight billion, six hundred eighteen million, three hundred eighty-three thousand, one hundred thirty-six".