141125068800 has 1008 divisors, whose sum is σ = 555003540000. Its totient is φ = 35473489920.

The previous prime is 141125068793. The next prime is 141125068801. The reversal of 141125068800 is 8860521141.

141125068800 is a `hidden beast` number, since 141 + 1 + 2 + 506 + 8 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (141125068801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 709171101 + ... + 709171299.

It is an arithmetic number, because the mean of its divisors is an integer number (550598750).

Almost surely, 2^141125068800 is an apocalyptic number.

141125068800 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 141125068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277501770000).

141125068800 is an abundant number, since it is smaller than the sum of its proper divisors (413878471200).

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

141125068800 is an equidigital number, since it uses as much as digits as its factorization.

141125068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 141125068800 its reverse (8860521141), we get a palindrome (149985589941).

The spelling of 141125068800 in words is "one hundred forty-one billion, one hundred twenty-five million, sixty-eight thousand, eight hundred".