150288440 has 128 divisors (see below), whose sum is σ = 376358400. Its totient is φ = 53813760.

The previous prime is 150288431. The next prime is 150288491. The reversal of 150288440 is 44882051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 150288397 and 150288406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147175 + ... + 1147305.

It is an arithmetic number, because the mean of its divisors is an integer number (2940300).

Almost surely, 2^150288440 is an apocalyptic number.

150288440 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 150288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

150288440 is an abundant number, since it is smaller than the sum of its proper divisors (226069960).

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

150288440 is a wasteful number, since it uses less digits than its factorization.

150288440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 150288440 is about 12259.2185721603. The cubic root of 150288440 is about 531.6696367903.

The spelling of 150288440 in words is "one hundred fifty million, two hundred eighty-eight thousand, four hundred forty".