141680000 has 320 divisors, whose sum is σ = 458853120. Its totient is φ = 42240000.

The previous prime is 141679991. The next prime is 141680027. The reversal of 141680000 is 86141.

141680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6159989 + ... + 6160011.

It is an arithmetic number, because the mean of its divisors is an integer number (1433916).

Almost surely, 2^141680000 is an apocalyptic number.

141680000 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 141680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229426560).

141680000 is an abundant number, since it is smaller than the sum of its proper divisors (317173120).

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

141680000 is an equidigital number, since it uses as much as digits as its factorization.

141680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 141680000 is about 11902.9408130932. The cubic root of 141680000 is about 521.3181547827.

The spelling of 141680000 in words is "one hundred forty-one million, six hundred eighty thousand".