141024000 has 288 divisors, whose sum is σ = 508906944. Its totient is φ = 34406400.

The previous prime is 141023899. The next prime is 141024001. The reversal of 141024000 is 420141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (141024001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247944 + ... + 1248056.

It is an arithmetic number, because the mean of its divisors is an integer number (1767038).

Almost surely, 2^141024000 is an apocalyptic number.

141024000 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 141024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254453472).

141024000 is an abundant number, since it is smaller than the sum of its proper divisors (367882944).

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

141024000 is a wasteful number, since it uses less digits than its factorization.

141024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 141024000 is about 11875.3526263434. The cubic root of 141024000 is about 520.5123156023.

Adding to 141024000 its reverse (420141), we get a palindrome (141444141).

The spelling of 141024000 in words is "one hundred forty-one million, twenty-four thousand".