142384223520 has 2160 divisors, whose sum is σ = 686544760440. Its totient is φ = 27590492160.

The previous prime is 142384223483. The next prime is 142384223533. The reversal of 142384223520 is 25322483241.

142384223520 is a `hidden beast` number, since 1 + 4 + 2 + 384 + 223 + 52 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135921992976 + 6462230544 = 368676^2 + 80388^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1306277226 + ... + 1306277334.

Almost surely, 2^142384223520 is an apocalyptic number.

142384223520 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 142384223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343272380220).

142384223520 is an abundant number, since it is smaller than the sum of its proper divisors (544160536920).

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

142384223520 is a wasteful number, since it uses less digits than its factorization.

142384223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 142384223520 in words is "one hundred forty-two billion, three hundred eighty-four million, two hundred twenty-three thousand, five hundred twenty".