142127032320 has 1440 divisors, whose sum is σ = 640556116200. Its totient is φ = 29875765248.

The previous prime is 142127032273. The next prime is 142127032343. The reversal of 142127032320 is 23230721241.

142127032320 is a `hidden beast` number, since 1 + 42 + 1 + 270 + 32 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51896484864 + 90230547456 = 227808^2 + 300384^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 528353146 + ... + 528353414.

Almost surely, 2^142127032320 is an apocalyptic number.

142127032320 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 142127032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320278058100).

142127032320 is an abundant number, since it is smaller than the sum of its proper divisors (498429083880).

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

142127032320 is a wasteful number, since it uses less digits than its factorization.

142127032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 142127032320 its reverse (23230721241), we get a palindrome (165357753561).

The spelling of 142127032320 in words is "one hundred forty-two billion, one hundred twenty-seven million, thirty-two thousand, three hundred twenty".