316146144 has 96 divisors (see below), whose sum is σ = 882959616. Its totient is φ = 98703360.

The previous prime is 316146143. The next prime is 316146151. The reversal of 316146144 is 441641613.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316146143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500709 + ... + 501339.

It is an arithmetic number, because the mean of its divisors is an integer number (9197496).

Almost surely, 2^316146144 is an apocalyptic number.

316146144 is a gapful number since it is divisible by the number (34) 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 316146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441479808).

316146144 is an abundant number, since it is smaller than the sum of its proper divisors (566813472).

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

316146144 is a wasteful number, since it uses less digits than its factorization.

316146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 316146144 is about 17780.4989806248. The cubic root of 316146144 is about 681.2334475792.

Adding to 316146144 its reverse (441641613), we get a palindrome (757787757).

The spelling of 316146144 in words is "three hundred sixteen million, one hundred forty-six thousand, one hundred forty-four".