142225784928 has 288 divisors, whose sum is σ = 428872612896. Its totient is φ = 46348443648.

The previous prime is 142225784923. The next prime is 142225784929. The reversal of 142225784928 is 829487522241.

142225784928 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 2 + 578 + 49 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142225784923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178451026 + ... + 178451822.

It is an arithmetic number, because the mean of its divisors is an integer number (1489141017).

Almost surely, 2^142225784928 is an apocalyptic number.

142225784928 is a gapful number since it is divisible by the number (18) 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 142225784928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214436306448).

142225784928 is an abundant number, since it is smaller than the sum of its proper divisors (286646827968).

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

142225784928 is an equidigital number, since it uses as much as digits as its factorization.

142225784928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1288 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 142225784928 in words is "one hundred forty-two billion, two hundred twenty-five million, seven hundred eighty-four thousand, nine hundred twenty-eight".