141582180960 has 960 divisors, whose sum is σ = 564610362624. Its totient is φ = 33256396800.

The previous prime is 141582180953. The next prime is 141582181009. The reversal of 141582180960 is 69081285141.

It is a happy number.

141582180960 is a `hidden beast` number, since 1 + 4 + 1 + 582 + 1 + 8 + 0 + 9 + 60 = 666.

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 159 ways as a sum of consecutive naturals, for example, 2113166847 + ... + 2113166913.

Almost surely, 2^141582180960 is an apocalyptic number.

141582180960 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 141582180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282305181312).

141582180960 is an abundant number, since it is smaller than the sum of its proper divisors (423028181664).

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

141582180960 is an frugal number, since it uses more digits than its factorization.

141582180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 141582180960 in words is "one hundred forty-one billion, five hundred eighty-two million, one hundred eighty thousand, nine hundred sixty".