142928269280928 has 144 divisors (see below), whose sum is σ = 408336716301696. Its totient is φ = 47422008775680.

The previous prime is 142928269280861. The next prime is 142928269280941. The reversal of 142928269280928 is 829082962829241.

142928269280928 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 282 + 69 + 280 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×142928269280928³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196049563 + ... + 196777253.

It is an arithmetic number, because the mean of its divisors is an integer number (2835671640984).

Almost surely, 2^{142928269280928} is an apocalyptic number.

142928269280928 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 142928269280928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204168358150848).

142928269280928 is an abundant number, since it is smaller than the sum of its proper divisors (265408447020768).

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

142928269280928 is a wasteful number, since it uses less digits than its factorization.

142928269280928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730867 (or 730856 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 142928269280928 in words is "one hundred forty-two trillion, nine hundred twenty-eight billion, two hundred sixty-nine million, two hundred eighty thousand, nine hundred twenty-eight".