141131507328000 has 2464 divisors, whose sum is σ = 605915864736000. Its totient is φ = 32119632691200.

The previous prime is 141131507327971. The next prime is 141131507328011. The reversal of 141131507328000 is 823705131141.

141131507328000 is a `hidden beast` number, since 1 + 4 + 11 + 31 + 507 + 32 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 282828671751 + ... + 282828672249.

Almost surely, 2^{141131507328000} is an apocalyptic number.

141131507328000 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 141131507328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302957932368000).

141131507328000 is an abundant number, since it is smaller than the sum of its proper divisors (464784357408000).

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

141131507328000 is an frugal number, since it uses more digits than its factorization.

141131507328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 141131507328000 in words is "one hundred forty-one trillion, one hundred thirty-one billion, five hundred seven million, three hundred twenty-eight thousand".