133291508636160 has 2560 divisors, whose sum is σ = 563614486364160. Its totient is φ = 29229200179200.

The previous prime is 133291508636141. The next prime is 133291508636243. The reversal of 133291508636160 is 61636805192331.

133291508636160 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 9 + 15 + 0 + 8 + 6 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a junction number, because it is equal to n+sod(n) for n = 133291508636097 and 133291508636106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 481196781942 + ... + 481196782218.

It is an arithmetic number, because the mean of its divisors is an integer number (220161908736).

Almost surely, 2^{133291508636160} is an apocalyptic number.

133291508636160 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 133291508636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281807243182080).

133291508636160 is an abundant number, since it is smaller than the sum of its proper divisors (430322977728000).

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

133291508636160 is a wasteful number, since it uses less digits than its factorization.

133291508636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 133291508636160 in words is "one hundred thirty-three trillion, two hundred ninety-one billion, five hundred eight million, six hundred thirty-six thousand, one hundred sixty".