133466806461120 has 896 divisors, whose sum is σ = 491675848215552. Its totient is φ = 30315577344000.

The previous prime is 133466806461077. The next prime is 133466806461143. The reversal of 133466806461120 is 21164608664331.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 81531340942 + ... + 81531342578.

It is an arithmetic number, because the mean of its divisors is an integer number (548745366312).

Almost surely, 2^{133466806461120} is an apocalyptic number.

133466806461120 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 133466806461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245837924107776).

133466806461120 is an abundant number, since it is smaller than the sum of its proper divisors (358209041754432).

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

133466806461120 is a wasteful number, since it uses less digits than its factorization.

133466806461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 133466806461120 in words is "one hundred thirty-three trillion, four hundred sixty-six billion, eight hundred six million, four hundred sixty-one thousand, one hundred twenty".