142525141461632 has 128 divisors (see below), whose sum is σ = 286306574400000. Its totient is φ = 70669476274176.

The previous prime is 142525141461631. The next prime is 142525141461641. The reversal of 142525141461632 is 236164141525241.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (142525141461631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46744879244 + ... + 46744882292.

It is an arithmetic number, because the mean of its divisors is an integer number (2236770112500).

Almost surely, 2^{142525141461632} 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 142525141461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143153287200000).

142525141461632 is an abundant number, since it is smaller than the sum of its proper divisors (143781432938368).

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

142525141461632 is a wasteful number, since it uses less digits than its factorization.

142525141461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6374 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 47.

Adding to 142525141461632 its reverse (236164141525241), we get a palindrome (378689282986873).

The spelling of 142525141461632 in words is "one hundred forty-two trillion, five hundred twenty-five billion, one hundred forty-one million, four hundred sixty-one thousand, six hundred thirty-two".