6082128144 has 135 divisors (see below), whose sum is σ = 17459329797. Its totient is φ = 1976527872.

The previous prime is 6082128113. The next prime is 6082128179. The reversal of 6082128144 is 4418212806.

The square root of 6082128144 is 77988.

It is a perfect power (a square), and thus also a powerful number.

6082128144 is a `hidden beast` number, since 608 + 2 + 1 + 2 + 8 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2731107600 + 3351020544 = 52260^2 + 57888^2 .

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 = 6082128099 and 6082128108.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62702304 + ... + 62702400.

Almost surely, 2^6082128144 is an apocalyptic number.

6082128144 is the 77988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6082128144

6082128144 is an abundant number, since it is smaller than the sum of its proper divisors (11377201653).

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

6082128144 is an equidigital number, since it uses as much as digits as its factorization.

6082128144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 6082128144 is about 1825.3739791793.

Multiplying 6082128144 by its sum of digits (36), we get a square (218956613184 = 467928²).

6082128144 divided by its sum of digits (36) gives a square (168948004 = 12998²).

The spelling of 6082128144 in words is "six billion, eighty-two million, one hundred twenty-eight thousand, one hundred forty-four".