142404400100 has 72 divisors (see below), whose sum is σ = 314417376000. Its totient is φ = 55967401600.

The previous prime is 142404400087. The next prime is 142404400147. The reversal of 142404400100 is 1004404241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14149070 + ... + 14159130.

It is an arithmetic number, because the mean of its divisors is an integer number (4366908000).

Almost surely, 2^142404400100 is an apocalyptic number.

142404400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142404400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688000).

142404400100 is an abundant number, since it is smaller than the sum of its proper divisors (172012975900).

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

142404400100 is a wasteful number, since it uses less digits than its factorization.

142404400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 142404400100 its reverse (1004404241), we get a palindrome (143408804341).

The spelling of 142404400100 in words is "one hundred forty-two billion, four hundred four million, four hundred thousand, one hundred".