142131074648800 has 576 divisors, whose sum is σ = 367600844540160. Its totient is φ = 53603057664000.

The previous prime is 142131074648749. The next prime is 142131074648863. The reversal of 142131074648800 is 8846470131241.

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 95 ways as a sum of consecutive naturals, for example, 74297476644 + ... + 74297478556.

It is an arithmetic number, because the mean of its divisors is an integer number (638195910660).

Almost surely, 2^{142131074648800} is an apocalyptic number.

142131074648800 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 142131074648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183800422270080).

142131074648800 is an abundant number, since it is smaller than the sum of its proper divisors (225469769891360).

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

142131074648800 is a wasteful number, since it uses less digits than its factorization.

142131074648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 142131074648800 in words is "one hundred forty-two trillion, one hundred thirty-one billion, seventy-four million, six hundred forty-eight thousand, eight hundred".