150380256 has 192 divisors, whose sum is σ = 460615680. Its totient is φ = 42831360.

The previous prime is 150380179. The next prime is 150380267. The reversal of 150380256 is 652083051.

150380256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150380256² = 45228442789251072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4850961 + ... + 4850991.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^150380256 is an apocalyptic number.

150380256 is a gapful number since it is divisible by the number (16) 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 150380256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840).

150380256 is an abundant number, since it is smaller than the sum of its proper divisors (310235424).

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

150380256 is a wasteful number, since it uses less digits than its factorization.

150380256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 150380256 is about 12262.9627741423. The cubic root of 150380256 is about 531.7778860602. Note that the first 3 decimals are identical.

The spelling of 150380256 in words is "one hundred fifty million, three hundred eighty thousand, two hundred fifty-six".