141813828000 has 1536 divisors, whose sum is σ = 595718323200. Its totient is φ = 32920473600.

The previous prime is 141813827999. The next prime is 141813828041. The reversal of 141813828000 is 828318141.

It is a super-2 number, since 2×141813828000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3297995979 + ... + 3297996021.

It is an arithmetic number, because the mean of its divisors is an integer number (387837450).

Almost surely, 2^141813828000 is an apocalyptic number.

141813828000 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 141813828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297859161600).

141813828000 is an abundant number, since it is smaller than the sum of its proper divisors (453904495200).

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

141813828000 is an equidigital number, since it uses as much as digits as its factorization.

141813828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 141813828000 in words is "one hundred forty-one billion, eight hundred thirteen million, eight hundred twenty-eight thousand".