1395182112 has 192 divisors, whose sum is σ = 4115059200. Its totient is φ = 411729920.

The previous prime is 1395182101. The next prime is 1395182149. The reversal of 1395182112 is 2112815931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940089 + ... + 1940807.

It is an arithmetic number, because the mean of its divisors is an integer number (21432600).

Almost surely, 2^1395182112 is an apocalyptic number.

1395182112 is a gapful number since it is divisible by the number (12) 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 1395182112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057529600).

1395182112 is an abundant number, since it is smaller than the sum of its proper divisors (2719877088).

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

1395182112 is a wasteful number, since it uses less digits than its factorization.

1395182112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 1395182112 is about 37352.1366457128. The cubic root of 1395182112 is about 1117.4042010076.

The spelling of 1395182112 in words is "one billion, three hundred ninety-five million, one hundred eighty-two thousand, one hundred twelve".