142124120434400 has 144 divisors (see below), whose sum is σ = 377848093518000. Its totient is φ = 51886973276160.

The previous prime is 142124120434391. The next prime is 142124120434421. The reversal of 142124120434400 is 4434021421241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 75848450 + ... + 77699649.

It is an arithmetic number, because the mean of its divisors is an integer number (2623945093875).

Almost surely, 2^{142124120434400} is an apocalyptic number.

142124120434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142124120434400 is an abundant number, since it is smaller than the sum of its proper divisors (235723973083600).

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

142124120434400 is a wasteful number, since it uses less digits than its factorization.

142124120434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153548221 (or 153548208 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 142124120434400 its reverse (4434021421241), we get a palindrome (146558141855641).

The spelling of 142124120434400 in words is "one hundred forty-two trillion, one hundred twenty-four billion, one hundred twenty million, four hundred thirty-four thousand, four hundred".