133321152415680 has 1344 divisors, whose sum is σ = 529713412300800. Its totient is φ = 31762404495360.

The previous prime is 133321152415673. The next prime is 133321152415691. The reversal of 133321152415680 is 86514251123331.

133321152415680 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 1 + 152 + 415 + 6 + 80 = 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 191 ways as a sum of consecutive naturals, for example, 2412631891 + ... + 2412687149.

It is an arithmetic number, because the mean of its divisors is an integer number (394132003200).

Almost surely, 2^{133321152415680} is an apocalyptic number.

133321152415680 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 133321152415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264856706150400).

133321152415680 is an abundant number, since it is smaller than the sum of its proper divisors (396392259885120).

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

133321152415680 is a wasteful number, since it uses less digits than its factorization.

133321152415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55404 (or 55382 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 133321152415680 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, one hundred fifty-two million, four hundred fifteen thousand, six hundred eighty".