444150135 has 80 divisors (see below), whose sum is σ = 935494560. Its totient is φ = 198754560.

The previous prime is 444150131. The next prime is 444150151. The reversal of 444150135 is 531051444.

It is a happy number.

It is not a de Polignac number, because 444150135 - 2² = 444150131 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 = 444150099 and 444150108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444150131) 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 79 ways as a sum of consecutive naturals, for example, 54081 + ... + 61749.

It is an arithmetic number, because the mean of its divisors is an integer number (11693682).

Almost surely, 2^444150135 is an apocalyptic number.

444150135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

444150135 is an abundant number, since it is smaller than the sum of its proper divisors (491344425).

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

444150135 is a wasteful number, since it uses less digits than its factorization.

444150135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710 (or 7701 counting only the distinct ones).

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

The square root of 444150135 is about 21074.8697504872. The cubic root of 444150135 is about 762.9743410665.

The spelling of 444150135 in words is "four hundred forty-four million, one hundred fifty thousand, one hundred thirty-five".