150280320 has 128 divisors (see below), whose sum is σ = 495720000. Its totient is φ = 38678528.

The previous prime is 150280309. The next prime is 150280331. The reversal of 150280320 is 23082051.

It is an interprime number because it is at equal distance from previous prime (150280309) and next prime (150280331).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54331 + ... + 57029.

Almost surely, 2^150280320 is an apocalyptic number.

150280320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247860000).

150280320 is an abundant number, since it is smaller than the sum of its proper divisors (345439680).

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

150280320 is a wasteful number, since it uses less digits than its factorization.

150280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 150280320 is about 12258.8873883399. The cubic root of 150280320 is about 531.6600613473.

The spelling of 150280320 in words is "one hundred fifty million, two hundred eighty thousand, three hundred twenty".