133371463680000 has 7200 divisors, whose sum is σ = 667708792791040. Its totient is φ = 25798901760000.

The previous prime is 133371463679989. The next prime is 133371463680011. The reversal of 133371463680000 is 86364173331.

It is a happy number.

133371463680000 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 7 + 1 + 4 + 636 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133371463679989) and next prime (133371463680011).

It is a tau number, because it is divible by the number of its divisors (7200).

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 479 ways as a sum of consecutive naturals, for example, 4302305279985 + ... + 4302305280015.

Almost surely, 2^{133371463680000} is an apocalyptic number.

133371463680000 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 133371463680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333854396395520).

133371463680000 is an abundant number, since it is smaller than the sum of its proper divisors (534337329111040).

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

133371463680000 is an frugal number, since it uses more digits than its factorization.

133371463680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 133371463680000 in words is "one hundred thirty-three trillion, three hundred seventy-one billion, four hundred sixty-three million, six hundred eighty thousand".