150742305 has 96 divisors (see below), whose sum is σ = 316293120. Its totient is φ = 64955520.

The previous prime is 150742297. The next prime is 150742309. The reversal of 150742305 is 503247051.

It is a happy number.

It is not a de Polignac number, because 150742305 - 2³ = 150742297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (150742309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419716 + ... + 420074.

It is an arithmetic number, because the mean of its divisors is an integer number (3294720).

Almost surely, 2^150742305 is an apocalyptic number.

150742305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150742305 is an abundant number, since it is smaller than the sum of its proper divisors (165550815).

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

150742305 is a wasteful number, since it uses less digits than its factorization.

150742305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 150742305 is about 12277.7157891849. The cubic root of 150742305 is about 532.2043058457.

Adding to 150742305 its reverse (503247051), we get a palindrome (653989356).

The spelling of 150742305 in words is "one hundred fifty million, seven hundred forty-two thousand, three hundred five".