141688320 has 160 divisors (see below), whose sum is σ = 477290880. Its totient is φ = 35758080.

The previous prime is 141688279. The next prime is 141688343. The reversal of 141688320 is 23886141.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145435 + ... + 146405.

It is an arithmetic number, because the mean of its divisors is an integer number (2983068).

Almost surely, 2^141688320 is an apocalyptic number.

141688320 is a gapful number since it is divisible by the number (10) 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 141688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238645440).

141688320 is an abundant number, since it is smaller than the sum of its proper divisors (335602560).

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

141688320 is an equidigital number, since it uses as much as digits as its factorization.

141688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 141688320 is about 11903.2903014251. The cubic root of 141688320 is about 521.3283591920.

The spelling of 141688320 in words is "one hundred forty-one million, six hundred eighty-eight thousand, three hundred twenty".