2175138144 has 192 divisors, whose sum is σ = 6556999680. Its totient is φ = 701084160.

The previous prime is 2175138137. The next prime is 2175138193. The reversal of 2175138144 is 4418315712.

2175138144 is a `hidden beast` number, since 21 + 7 + 513 + 81 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2175138099 and 2175138108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4718074 + ... + 4718534.

It is an arithmetic number, because the mean of its divisors is an integer number (34151040).

Almost surely, 2^2175138144 is an apocalyptic number.

2175138144 is a gapful number since it is divisible by the number (24) 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 2175138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278499840).

2175138144 is an abundant number, since it is smaller than the sum of its proper divisors (4381861536).

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

2175138144 is a wasteful number, since it uses less digits than its factorization.

2175138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 636 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 2175138144 is about 46638.3763010678. The cubic root of 2175138144 is about 1295.6736146548.

It can be divided in two parts, 21751 and 38144, that added together give a palindrome (59895).

The spelling of 2175138144 in words is "two billion, one hundred seventy-five million, one hundred thirty-eight thousand, one hundred forty-four".