133819866720000 has 2160 divisors, whose sum is σ = 531545535480960. Its totient is φ = 33471387648000.

The previous prime is 133819866719951. The next prime is 133819866720049. The reversal of 133819866720000 is 27668918331.

It is an interprime number because it is at equal distance from previous prime (133819866719951) and next prime (133819866720049).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 79043039154 + ... + 79043040846.

It is an arithmetic number, because the mean of its divisors is an integer number (246085896056).

Almost surely, 2^{133819866720000} is an apocalyptic number.

133819866720000 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 133819866720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265772767740480).

133819866720000 is an abundant number, since it is smaller than the sum of its proper divisors (397725668760960).

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

133819866720000 is an equidigital number, since it uses as much as digits as its factorization.

133819866720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 133819866720000 in words is "one hundred thirty-three trillion, eight hundred nineteen billion, eight hundred sixty-six million, seven hundred twenty thousand".