142735287564 has 480 divisors, whose sum is σ = 425034086400. Its totient is φ = 41549967360.

The previous prime is 142735287529. The next prime is 142735287589. The reversal of 142735287564 is 465782537241.

142735287564 is a `hidden beast` number, since 1 + 4 + 2 + 73 + 5 + 2 + 8 + 7 + 564 = 666.

142735287564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142735287564.

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 159 ways as a sum of consecutive naturals, for example, 592262484 + ... + 592262724.

It is an arithmetic number, because the mean of its divisors is an integer number (885487680).

Almost surely, 2^142735287564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142735287564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212517043200).

142735287564 is an abundant number, since it is smaller than the sum of its proper divisors (282298798836).

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

142735287564 is a wasteful number, since it uses less digits than its factorization.

142735287564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 142735287564 in words is "one hundred forty-two billion, seven hundred thirty-five million, two hundred eighty-seven thousand, five hundred sixty-four".