142054647920640 has 5760 divisors, whose sum is σ = 673362479462400. Its totient is φ = 28513519534080.

The previous prime is 142054647920599. The next prime is 142054647920659. The reversal of 142054647920640 is 46029746450241.

142054647920640 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 546 + 4 + 7 + 92 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 2407705896931 + ... + 2407705896989.

It is an arithmetic number, because the mean of its divisors is an integer number (116903208240).

Almost surely, 2^{142054647920640} is an apocalyptic number.

142054647920640 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 142054647920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336681239731200).

142054647920640 is an abundant number, since it is smaller than the sum of its proper divisors (531307831541760).

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

142054647920640 is an frugal number, since it uses more digits than its factorization.

142054647920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 142054647920640 in words is "one hundred forty-two trillion, fifty-four billion, six hundred forty-seven million, nine hundred twenty thousand, six hundred forty".