133299518994432 has 1536 divisors, whose sum is σ = 475654443264000. Its totient is φ = 36091708047360.

The previous prime is 133299518994353. The next prime is 133299518994449. The reversal of 133299518994432 is 234499815992331.

133299518994432 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 9 + 9 + 5 + 189 + 9 + 4 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156271416918 + ... + 156271417770.

It is an arithmetic number, because the mean of its divisors is an integer number (309670861500).

Almost surely, 2^{133299518994432} is an apocalyptic number.

133299518994432 is a gapful number since it is divisible by the number (12) 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 133299518994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237827221632000).

133299518994432 is an abundant number, since it is smaller than the sum of its proper divisors (342354924269568).

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

133299518994432 is a wasteful number, since it uses less digits than its factorization.

133299518994432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1178 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

The spelling of 133299518994432 in words is "one hundred thirty-three trillion, two hundred ninety-nine billion, five hundred eighteen million, nine hundred ninety-four thousand, four hundred thirty-two".