141153325488000 has 1920 divisors, whose sum is σ = 612179916004800. Its totient is φ = 32139788083200.

The previous prime is 141153325487989. The next prime is 141153325488023. The reversal of 141153325488000 is 884523351141.

141153325488000 is a `hidden beast` number, since 1 + 4 + 11 + 533 + 25 + 4 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×141153325488000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17082571869 + ... + 17082580131.

Almost surely, 2^{141153325488000} is an apocalyptic number.

141153325488000 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 141153325488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306089958002400).

141153325488000 is an abundant number, since it is smaller than the sum of its proper divisors (471026590516800).

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

141153325488000 is an equidigital number, since it uses as much as digits as its factorization.

141153325488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 141153325488000 in words is "one hundred forty-one trillion, one hundred fifty-three billion, three hundred twenty-five million, four hundred eighty-eight thousand".