150288390 has 144 divisors (see below), whose sum is σ = 463842288. Its totient is φ = 33651072.

The previous prime is 150288389. The next prime is 150288401. The reversal of 150288390 is 93882051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233409 + ... + 234051.

It is an arithmetic number, because the mean of its divisors is an integer number (3221127).

Almost surely, 2^150288390 is an apocalyptic number.

150288390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150288390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231921144).

150288390 is an abundant number, since it is smaller than the sum of its proper divisors (313553898).

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

150288390 is a wasteful number, since it uses less digits than its factorization.

150288390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 150288390 is about 12259.2165328784. The cubic root of 150288390 is about 531.6695778293.

The spelling of 150288390 in words is "one hundred fifty million, two hundred eighty-eight thousand, three hundred ninety".