133284240000 has 480 divisors, whose sum is σ = 504547243200. Its totient is φ = 33668352000.

The previous prime is 133284239969. The next prime is 133284240029. The reversal of 133284240000 is 42482331.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13675129 + ... + 13684871.

It is an arithmetic number, because the mean of its divisors is an integer number (1051140090).

Almost surely, 2^133284240000 is an apocalyptic number.

133284240000 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 133284240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252273621600).

133284240000 is an abundant number, since it is smaller than the sum of its proper divisors (371263003200).

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

133284240000 is an equidigital number, since it uses as much as digits as its factorization.

133284240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9802 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 133284240000 in words is "one hundred thirty-three billion, two hundred eighty-four million, two hundred forty thousand".