142125144010000 has 100 divisors (see below), whose sum is σ = 344109299073100. Its totient is φ = 56848386816000.

The previous prime is 142125144009971. The next prime is 142125144010001. The reversal of 142125144010000 is 10441521241.

It can be written as a sum of positive squares in 10 ways, for example, as 98149996356624 + 43975147653376 = 9907068^2 + 6631376^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (142125144010001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 373499836 + ... + 373880164.

It is an arithmetic number, because the mean of its divisors is an integer number (3441092990731).

Almost surely, 2^{142125144010000} is an apocalyptic number.

142125144010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142125144010000 is an abundant number, since it is smaller than the sum of its proper divisors (201984155063100).

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

142125144010000 is an equidigital number, since it uses as much as digits as its factorization.

142125144010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417726 (or 417705 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 142125144010000 its reverse (10441521241), we get a palindrome (142135585531241).

The spelling of 142125144010000 in words is "one hundred forty-two trillion, one hundred twenty-five billion, one hundred forty-four million, ten thousand".