82144128 has 64 divisors (see below), whose sum is σ = 238043520. Its totient is φ = 24890880.

The previous prime is 82144099. The next prime is 82144133.

82144128 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82144095 and 82144104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5500 + ... + 13947.

It is an arithmetic number, because the mean of its divisors is an integer number (3719430).

Almost surely, 2^82144128 is an apocalyptic number.

82144128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82144128 is an abundant number, since it is smaller than the sum of its proper divisors (155899392).

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

82144128 is a wasteful number, since it uses less digits than its factorization.

82144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19475 (or 19463 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 82144128 is about 9063.3397817802. The cubic root of 82144128 is about 434.7025367582.

The spelling of 82144128 in words is "eighty-two million, one hundred forty-four thousand, one hundred twenty-eight".