363540123 has 16 divisors (see below), whose sum is σ = 547708800. Its totient is φ = 238251240.

The previous prime is 363540113. The next prime is 363540137. The reversal of 363540123 is 321045363.

It is a happy number.

363540123 is a `hidden beast` number, since 3 + 635 + 4 + 0 + 1 + 23 = 666.

It is not a de Polignac number, because 363540123 - 2⁸ = 363539867 is a prime.

It is a super-2 number, since 2×363540123² = 264322842061710258, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (363540113) 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 15 ways as a sum of consecutive naturals, for example, 112513 + ... + 115698.

It is an arithmetic number, because the mean of its divisors is an integer number (34231800).

Almost surely, 2^363540123 is an apocalyptic number.

363540123 is a deficient number, since it is larger than the sum of its proper divisors (184168677).

363540123 is a wasteful number, since it uses less digits than its factorization.

363540123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228279 (or 228273 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 363540123 is about 19066.7281671502. The cubic root of 363540123 is about 713.7028811075.

Adding to 363540123 its reverse (321045363), we get a palindrome (684585486).

The spelling of 363540123 in words is "three hundred sixty-three million, five hundred forty thousand, one hundred twenty-three".