141968000 has 128 divisors (see below), whose sum is σ = 372340800. Its totient is φ = 53683200.

The previous prime is 141967999. The next prime is 141968011. The reversal of 141968000 is 869141.

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

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, 303767 + ... + 304233.

Almost surely, 2^141968000 is an apocalyptic number.

141968000 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 141968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186170400).

141968000 is an abundant number, since it is smaller than the sum of its proper divisors (230372800).

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

141968000 is an equidigital number, since it uses as much as digits as its factorization.

141968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 141968000 is about 11915.0325219867. The cubic root of 141968000 is about 521.6711521740.

The spelling of 141968000 in words is "one hundred forty-one million, nine hundred sixty-eight thousand".