2133510214144 has 160 divisors (see below), whose sum is σ = 4687566244416. Its totient is φ = 966007848960.

The previous prime is 2133510214133. The next prime is 2133510214151. The reversal of 2133510214144 is 4414120153312.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25033684 + ... + 25118764.

Almost surely, 2^{2133510214144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133510214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343783122208).

2133510214144 is an abundant number, since it is smaller than the sum of its proper divisors (2554056030272).

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

2133510214144 is an equidigital number, since it uses as much as digits as its factorization.

2133510214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85226 (or 85210 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 2133510214144 its reverse (4414120153312), we get a palindrome (6547630367456).

The spelling of 2133510214144 in words is "two trillion, one hundred thirty-three billion, five hundred ten million, two hundred fourteen thousand, one hundred forty-four".