150382782 has 96 divisors (see below), whose sum is σ = 385482240. Its totient is φ = 41852160.

The previous prime is 150382769. The next prime is 150382787. The reversal of 150382782 is 287283051.

150382782 is a `hidden beast` number, since 1 + 503 + 82 + 78 + 2 = 666.

It is a super-2 number, since 2×150382782² = 45229962244119048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150382787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144219 + ... + 145257.

It is an arithmetic number, because the mean of its divisors is an integer number (4015440).

Almost surely, 2^150382782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150382782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192741120).

150382782 is an abundant number, since it is smaller than the sum of its proper divisors (235099458).

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

150382782 is a wasteful number, since it uses less digits than its factorization.

150382782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 150382782 is about 12263.0657667649. The cubic root of 150382782 is about 531.7808635420.

The spelling of 150382782 in words is "one hundred fifty million, three hundred eighty-two thousand, seven hundred eighty-two".