133691541984 has 1440 divisors, whose sum is σ = 570259188576. Its totient is φ = 30098718720.

The previous prime is 133691541869. The next prime is 133691542007. The reversal of 133691541984 is 489145196331.

133691541984 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 9 + 1 + 541 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2799360) is a multiple of the sum of its prime divisors (486).

It is a self number, because there is not a number n which added to its sum of digits gives 133691541984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 308756232 + ... + 308756664.

Almost surely, 2^133691541984 is an apocalyptic number.

133691541984 is a gapful number since it is divisible by the number (14) 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 133691541984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285129594288).

133691541984 is an abundant number, since it is smaller than the sum of its proper divisors (436567646592).

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

133691541984 is a wasteful number, since it uses less digits than its factorization.

133691541984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 486 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 133691541984 in words is "one hundred thirty-three billion, six hundred ninety-one million, five hundred forty-one thousand, nine hundred eighty-four".