150416320 has 112 divisors (see below), whose sum is σ = 379219968. Its totient is φ = 56714240.

The previous prime is 150416291. The next prime is 150416327. The reversal of 150416320 is 23614051.

150416320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150416291 and 150416300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150416327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787425 + ... + 787615.

Almost surely, 2^150416320 is an apocalyptic number.

150416320 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 150416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189609984).

150416320 is an abundant number, since it is smaller than the sum of its proper divisors (228803648).

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

150416320 is a wasteful number, since it uses less digits than its factorization.

150416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 150416320 is about 12264.4331299902. The cubic root of 150416320 is about 531.8203927592.

The spelling of 150416320 in words is "one hundred fifty million, four hundred sixteen thousand, three hundred twenty".