2132144000 has 128 divisors (see below), whose sum is σ = 6058653120. Its totient is φ = 730982400.

The previous prime is 2132143997. The next prime is 2132144017. The reversal of 2132144000 is 4412312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2132144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102482 + ... + 121518.

Almost surely, 2^2132144000 is an apocalyptic number.

2132144000 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 2132144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029326560).

2132144000 is an abundant number, since it is smaller than the sum of its proper divisors (3926509120).

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

2132144000 is an equidigital number, since it uses as much as digits as its factorization.

2132144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19073 (or 19051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2132144000 is about 46175.1448292260. The cubic root of 2132144000 is about 1287.0799081899.

Adding to 2132144000 its reverse (4412312), we get a palindrome (2136556312).

The spelling of 2132144000 in words is "two billion, one hundred thirty-two million, one hundred forty-four thousand".