133014214144 has 80 divisors (see below), whose sum is σ = 303982829568. Its totient is φ = 56959690752.

The previous prime is 133014214139. The next prime is 133014214181. The reversal of 133014214144 is 441412410331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4583809 + ... + 4612735.

Almost surely, 2^133014214144 is an apocalyptic number.

133014214144 is a gapful number since it is divisible by the number (14) 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 133014214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151991414784).

133014214144 is an abundant number, since it is smaller than the sum of its proper divisors (170968615424).

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

133014214144 is an equidigital number, since it uses as much as digits as its factorization.

133014214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30235 (or 30219 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 133014214144 its reverse (441412410331), we get a palindrome (574426624475).

The spelling of 133014214144 in words is "one hundred thirty-three billion, fourteen million, two hundred fourteen thousand, one hundred forty-four".