141648800 has 72 divisors (see below), whose sum is σ = 364039200. Its totient is φ = 53671680.

The previous prime is 141648791. The next prime is 141648833. The reversal of 141648800 is 8846141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10541 + ... + 19859.

It is an arithmetic number, because the mean of its divisors is an integer number (5056100).

Almost surely, 2^141648800 is an apocalyptic number.

141648800 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 141648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182019600).

141648800 is an abundant number, since it is smaller than the sum of its proper divisors (222390400).

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

141648800 is a wasteful number, since it uses less digits than its factorization.

141648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9358 (or 9345 counting only the distinct ones).

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

The square root of 141648800 is about 11901.6301404471. The cubic root of 141648800 is about 521.2798846892.

The spelling of 141648800 in words is "one hundred forty-one million, six hundred forty-eight thousand, eight hundred".