141648000 has 256 divisors, whose sum is σ = 507911040. Its totient is φ = 34713600.

The previous prime is 141647993. The next prime is 141648011. The reversal of 141648000 is 846141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623887 + ... + 624113.

Almost surely, 2^141648000 is an apocalyptic number.

141648000 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 141648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

141648000 is an abundant number, since it is smaller than the sum of its proper divisors (366263040).

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

141648000 is a wasteful number, since it uses less digits than its factorization.

141648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 141648000 is about 11901.5965315583. The cubic root of 141648000 is about 521.2789033309.

The spelling of 141648000 in words is "one hundred forty-one million, six hundred forty-eight thousand".