2133145315520 has 112 divisors (see below), whose sum is σ = 5347654979040. Its totient is φ = 808235237376.

The previous prime is 2133145315507. The next prime is 2133145315529. The reversal of 2133145315520 is 255135413312.

It is a happy number.

It is a super-3 number, since 3×2133145315520³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2133145315529) by changing a digit.

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, 51738434 + ... + 51779646.

Almost surely, 2^{2133145315520} is an apocalyptic number.

2133145315520 is a gapful number since it is divisible by the number (20) 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 2133145315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673827489520).

2133145315520 is an abundant number, since it is smaller than the sum of its proper divisors (3214509663520).

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

2133145315520 is a wasteful number, since it uses less digits than its factorization.

2133145315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49762 (or 49752 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 2133145315520 in words is "two trillion, one hundred thirty-three billion, one hundred forty-five million, three hundred fifteen thousand, five hundred twenty".