141328000 has 192 divisors, whose sum is σ = 391514760. Its totient is φ = 50688000.

The previous prime is 141327973. The next prime is 141328003. The reversal of 141328000 is 823141.

It can be written as a sum of positive squares in 4 ways, for example, as 45914176 + 95413824 = 6776^2 + 9768^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (141328003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1935964 + ... + 1936036.

Almost surely, 2^141328000 is an apocalyptic number.

141328000 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 141328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195757380).

141328000 is an abundant number, since it is smaller than the sum of its proper divisors (250186760).

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

141328000 is an equidigital number, since it uses as much as digits as its factorization.

141328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 141328000 is about 11888.1453557735. The cubic root of 141328000 is about 520.8860632836.

The spelling of 141328000 in words is "one hundred forty-one million, three hundred twenty-eight thousand".