141004688 has 60 divisors (see below), whose sum is σ = 302743644. Its totient is φ = 63571200.

The previous prime is 141004679. The next prime is 141004693. The reversal of 141004688 is 886400141.

141004688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53993104 + 87011584 = 7348^2 + 9328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334718 + ... + 335138.

Almost surely, 2^141004688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141004688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151371822).

141004688 is an abundant number, since it is smaller than the sum of its proper divisors (161738956).

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

141004688 is a wasteful number, since it uses less digits than its factorization.

141004688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 141004688 is about 11874.5394858074. The cubic root of 141004688 is about 520.4885546521.

The spelling of 141004688 in words is "one hundred forty-one million, four thousand, six hundred eighty-eight".