450144135 has 72 divisors (see below), whose sum is σ = 941378256. Its totient is φ = 205752960.

The previous prime is 450144131. The next prime is 450144157. The reversal of 450144135 is 531441054.

It is a happy number.

It is not a de Polignac number, because 450144135 - 2² = 450144131 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 450144099 and 450144108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450144131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55755 + ... + 63315.

It is an arithmetic number, because the mean of its divisors is an integer number (13074698).

Almost surely, 2^450144135 is an apocalyptic number.

450144135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450144135 is an abundant number, since it is smaller than the sum of its proper divisors (491234121).

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

450144135 is an equidigital number, since it uses as much as digits as its factorization.

450144135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 450144135 is about 21216.6004581318. The cubic root of 450144135 is about 766.3912399636.

Adding to 450144135 its reverse (531441054), we get a palindrome (981585189).

The spelling of 450144135 in words is "four hundred fifty million, one hundred forty-four thousand, one hundred thirty-five".