150782068080 has 640 divisors, whose sum is σ = 644987289600. Its totient is φ = 31595443200.

The previous prime is 150782068051. The next prime is 150782068181. The reversal of 150782068080 is 80860287051.

150782068080 is a `hidden beast` number, since 1 + 507 + 8 + 2 + 0 + 68 + 0 + 80 = 666.

150782068080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8897215 + ... + 8914145.

It is an arithmetic number, because the mean of its divisors is an integer number (1007792640).

Almost surely, 2^150782068080 is an apocalyptic number.

150782068080 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 150782068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322493644800).

150782068080 is an abundant number, since it is smaller than the sum of its proper divisors (494205221520).

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

150782068080 is a wasteful number, since it uses less digits than its factorization.

150782068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17010 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 150782068080 in words is "one hundred fifty billion, seven hundred eighty-two million, sixty-eight thousand, eighty".