141327312 has 80 divisors (see below), whose sum is σ = 421258752. Its totient is φ = 39991680.

The previous prime is 141327299. The next prime is 141327317. The reversal of 141327312 is 213723141.

It is a happy number.

141327312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×141327312³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (141327317) 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, 33987 + ... + 37917.

Almost surely, 2^141327312 is an apocalyptic number.

141327312 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 141327312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210629376).

141327312 is an abundant number, since it is smaller than the sum of its proper divisors (279931440).

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

141327312 is a wasteful number, since it uses less digits than its factorization.

141327312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4050 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 141327312 is about 11888.1164193492. The cubic root of 141327312 is about 520.8852180390.

The spelling of 141327312 in words is "one hundred forty-one million, three hundred twenty-seven thousand, three hundred twelve".