141825610080 has 1080 divisors, whose sum is σ = 628687921680. Its totient is φ = 28519603200.

The previous prime is 141825610057. The next prime is 141825610123. The reversal of 141825610080 is 80016528141.

141825610080 is a `hidden beast` number, since 1 + 4 + 18 + 2 + 561 + 0 + 0 + 80 = 666.

It is a super-2 number, since 2×141825610080² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4575019665 + ... + 4575019695.

It is an arithmetic number, because the mean of its divisors is an integer number (582118446).

Almost surely, 2^141825610080 is an apocalyptic number.

141825610080 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 141825610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314343960840).

141825610080 is an abundant number, since it is smaller than the sum of its proper divisors (486862311600).

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

141825610080 is an equidigital number, since it uses as much as digits as its factorization.

141825610080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 59 counting only the distinct ones).

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

The spelling of 141825610080 in words is "one hundred forty-one billion, eight hundred twenty-five million, six hundred ten thousand, eighty".