10142604146000 has 40 divisors (see below), whose sum is σ = 24524816829864. Its totient is φ = 4057041657600.

The previous prime is 10142604145967. The next prime is 10142604146027. The reversal of 10142604146000 is 64140624101.

It can be written as a sum of positive squares in 4 ways, for example, as 128012252944 + 10014591893056 = 357788^2 + 3164584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2535649037 + ... + 2535653036.

Almost surely, 2^{10142604146000} is an apocalyptic number.

10142604146000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142604146000 is an abundant number, since it is smaller than the sum of its proper divisors (14382212683864).

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

10142604146000 is an equidigital number, since it uses as much as digits as its factorization.

10142604146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071302096 (or 5071302080 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10142604146000 in words is "ten trillion, one hundred forty-two billion, six hundred four million, one hundred forty-six thousand".