141382768080 has 160 divisors (see below), whose sum is σ = 461616883200. Its totient is φ = 35697424896.

The previous prime is 141382768069. The next prime is 141382768097. The reversal of 141382768080 is 80867283141.

It is a Cunningham number, because it is equal to 376009²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 9016407 + ... + 9032073.

It is an arithmetic number, because the mean of its divisors is an integer number (2885105520).

Almost surely, 2^141382768080 is an apocalyptic number.

141382768080 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 141382768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230808441600).

141382768080 is an abundant number, since it is smaller than the sum of its proper divisors (320234115120).

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

141382768080 is a wasteful number, since it uses less digits than its factorization.

141382768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17681 (or 17675 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 141382768080 in words is "one hundred forty-one billion, three hundred eighty-two million, seven hundred sixty-eight thousand, eighty".