141998688 has 288 divisors, whose sum is σ = 485424576. Its totient is φ = 38928384.

The previous prime is 141998687. The next prime is 141998741. The reversal of 141998688 is 886899141.

It is a tau number, because it is divible by the number of its divisors (288).

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 (141998687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1463856 + ... + 1463952.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502).

Almost surely, 2^141998688 is an apocalyptic number.

141998688 is a gapful number since it is divisible by the number (18) 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 141998688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242712288).

141998688 is an abundant number, since it is smaller than the sum of its proper divisors (343425888).

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

141998688 is a wasteful number, since it uses less digits than its factorization.

141998688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 141998688 is about 11916.3202373887. The cubic root of 141998688 is about 521.7087378528.

The spelling of 141998688 in words is "one hundred forty-one million, nine hundred ninety-eight thousand, six hundred eighty-eight".