141438336 has 128 divisors (see below), whose sum is σ = 418975200. Its totient is φ = 41975808.

The previous prime is 141438263. The next prime is 141438347. The reversal of 141438336 is 633834141.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 141438297 and 141438306.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 144280 + ... + 145256.

Almost surely, 2^141438336 is an apocalyptic number.

141438336 is a gapful number since it is divisible by the number (16) 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 141438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209487600).

141438336 is an abundant number, since it is smaller than the sum of its proper divisors (277536864).

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

141438336 is a wasteful number, since it uses less digits than its factorization.

With its successor (141438337) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1036).

141438336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 141438336 is about 11892.7850396785. The cubic root of 141438336 is about 521.0215814511.

The spelling of 141438336 in words is "one hundred forty-one million, four hundred thirty-eight thousand, three hundred thirty-six".