133480654814336 has 128 divisors (see below), whose sum is σ = 285640849612800. Its totient is φ = 62016132326400.

The previous prime is 133480654814323. The next prime is 133480654814347. The reversal of 133480654814336 is 633418456084331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×133480654814336³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3437081 + ... + 16696551.

It is an arithmetic number, because the mean of its divisors is an integer number (2231569137600).

Almost surely, 2^{133480654814336} is an apocalyptic number.

133480654814336 is a gapful number since it is divisible by the number (16) 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 133480654814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142820424806400).

133480654814336 is an abundant number, since it is smaller than the sum of its proper divisors (152160194798464).

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

133480654814336 is a wasteful number, since it uses less digits than its factorization.

133480654814336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259618 (or 13259606 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 59.

The spelling of 133480654814336 in words is "one hundred thirty-three trillion, four hundred eighty billion, six hundred fifty-four million, eight hundred fourteen thousand, three hundred thirty-six".