142779309120 has 1120 divisors, whose sum is σ = 619597440000. Its totient is φ = 30483910656.

The previous prime is 142779309109. The next prime is 142779309149. The reversal of 142779309120 is 21903977241.

142779309120 is a `hidden beast` number, since 1 + 427 + 79 + 30 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×142779309120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286130631 + ... + 286131129.

It is an arithmetic number, because the mean of its divisors is an integer number (553212000).

Almost surely, 2^142779309120 is an apocalyptic number.

142779309120 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 142779309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309798720000).

142779309120 is an abundant number, since it is smaller than the sum of its proper divisors (476818130880).

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

142779309120 is a wasteful number, since it uses less digits than its factorization.

142779309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 142779309120 in words is "one hundred forty-two billion, seven hundred seventy-nine million, three hundred nine thousand, one hundred twenty".