141968592 has 80 divisors (see below), whose sum is σ = 420687360. Its totient is φ = 45792000.

The previous prime is 141968591. The next prime is 141968611. The reversal of 141968592 is 295869141.

It is a super-2 number, since 2×141968592² = 40310162228924928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141968591) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8092 + ... + 18692.

It is an arithmetic number, because the mean of its divisors is an integer number (5258592).

Almost surely, 2^141968592 is an apocalyptic number.

141968592 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 141968592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

141968592 is an abundant number, since it is smaller than the sum of its proper divisors (278718768).

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

141968592 is a wasteful number, since it uses less digits than its factorization.

141968592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649 (or 10637 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 141968592 is about 11915.0573645283. The cubic root of 141968592 is about 521.6718772878.

The spelling of 141968592 in words is "one hundred forty-one million, nine hundred sixty-eight thousand, five hundred ninety-two".