150782016 has 336 divisors, whose sum is σ = 533716992. Its totient is φ = 37094400.

The previous prime is 150782003. The next prime is 150782041. The reversal of 150782016 is 610287051.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3208105 + ... + 3208151.

Almost surely, 2^150782016 is an apocalyptic number.

150782016 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 150782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266858496).

150782016 is an abundant number, since it is smaller than the sum of its proper divisors (382934976).

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

150782016 is a wasteful number, since it uses less digits than its factorization.

150782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 150782016 is about 12279.3328809020. The cubic root of 150782016 is about 532.2510357260.

The spelling of 150782016 in words is "one hundred fifty million, seven hundred eighty-two thousand, sixteen".