363584142 has 24 divisors (see below), whose sum is σ = 792988560. Its totient is φ = 120391200.

The previous prime is 363584141. The next prime is 363584147. The reversal of 363584142 is 241485363.

363584142 is a `hidden beast` number, since 3 + 63 + 584 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 363584097 and 363584106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363584141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 64167 + ... + 69602.

It is an arithmetic number, because the mean of its divisors is an integer number (33041190).

Almost surely, 2^363584142 is an apocalyptic number.

363584142 is an abundant number, since it is smaller than the sum of its proper divisors (429404418).

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

363584142 is a wasteful number, since it uses less digits than its factorization.

363584142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133928 (or 133925 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 363584142 is about 19067.8824728914. The cubic root of 363584142 is about 713.7316860153.

The spelling of 363584142 in words is "three hundred sixty-three million, five hundred eighty-four thousand, one hundred forty-two".