363505142 has 48 divisors (see below), whose sum is σ = 736169472. Its totient is φ = 130721760.

The previous prime is 363505127. The next prime is 363505147. The reversal of 363505142 is 241505363.

It is a super-3 number, since 3×363505142³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363505147) 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 23 ways as a sum of consecutive naturals, for example, 19043 + ... + 33009.

It is an arithmetic number, because the mean of its divisors is an integer number (15336864).

Almost surely, 2^363505142 is an apocalyptic number.

363505142 is an abundant number, since it is smaller than the sum of its proper divisors (372664330).

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

363505142 is a wasteful number, since it uses less digits than its factorization.

363505142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14013 (or 14000 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 363505142 is about 19065.8108141248. The cubic root of 363505142 is about 713.6799887776.

It can be divided in two parts, 363 and 505142, that added together give a palindrome (505505).

The spelling of 363505142 in words is "three hundred sixty-three million, five hundred five thousand, one hundred forty-two".