133521371161920 has 2688 divisors, whose sum is σ = 594367256678400. Its totient is φ = 28047983394816.

The previous prime is 133521371161879. The next prime is 133521371161967. The reversal of 133521371161920 is 29161173125331.

133521371161920 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 2 + 1 + 3 + 7 + 1 + 1 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64100513199 + ... + 64100515281.

Almost surely, 2^{133521371161920} is an apocalyptic number.

133521371161920 is a gapful number since it is divisible by the number (10) 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 133521371161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297183628339200).

133521371161920 is an abundant number, since it is smaller than the sum of its proper divisors (460845885516480).

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

133521371161920 is a wasteful number, since it uses less digits than its factorization.

133521371161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 133521371161920 in words is "one hundred thirty-three trillion, five hundred twenty-one billion, three hundred seventy-one million, one hundred sixty-one thousand, nine hundred twenty".