142193516004 has 36 divisors (see below), whose sum is σ = 359571614220. Its totient is φ = 47379640320.

The previous prime is 142193515969. The next prime is 142193516021. The reversal of 142193516004 is 400615391241.

It is a happy number.

142193516004 is a `hidden beast` number, since 1 + 4 + 2 + 19 + 35 + 1 + 600 + 4 = 666.

142193516004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23445734400 + 118747781604 = 153120^2 + 344598^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142193516004.

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 11 ways as a sum of consecutive naturals, for example, 663037 + ... + 850884.

It is an arithmetic number, because the mean of its divisors is an integer number (9988100395).

Almost surely, 2^142193516004 is an apocalyptic number.

It is an amenable number.

142193516004 is an abundant number, since it is smaller than the sum of its proper divisors (217378098216).

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

142193516004 is a wasteful number, since it uses less digits than its factorization.

142193516004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516540 (or 1516535 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 142193516004 in words is "one hundred forty-two billion, one hundred ninety-three million, five hundred sixteen thousand, four".