142755584880 has 320 divisors, whose sum is σ = 471929794560. Its totient is φ = 35621634048.

The previous prime is 142755584863. The next prime is 142755584927. The reversal of 142755584880 is 88485557241.

142755584880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142755584880² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142755584880.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 49275592 + ... + 49278488.

It is an arithmetic number, because the mean of its divisors is an integer number (1474780608).

Almost surely, 2^142755584880 is an apocalyptic number.

142755584880 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 142755584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235964897280).

142755584880 is an abundant number, since it is smaller than the sum of its proper divisors (329174209680).

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

142755584880 is a wasteful number, since it uses less digits than its factorization.

142755584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 57.

The spelling of 142755584880 in words is "one hundred forty-two billion, seven hundred fifty-five million, five hundred eighty-four thousand, eight hundred eighty".