150782934016 has 176 divisors, whose sum is σ = 359126466048. Its totient is φ = 62370201600.

The previous prime is 150782934013. The next prime is 150782934041. The reversal of 150782934016 is 610439287051.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150782934013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10389421 + ... + 10403923.

It is a 1-persistent number, because it is pandigital, but 2⋅150782934016 = 301565868032 is not.

Almost surely, 2^150782934016 is an apocalyptic number.

150782934016 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 150782934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179563233024).

150782934016 is an abundant number, since it is smaller than the sum of its proper divisors (208343532032).

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

150782934016 is a wasteful number, since it uses less digits than its factorization.

150782934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14618 (or 14600 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 150782934016 in words is "one hundred fifty billion, seven hundred eighty-two million, nine hundred thirty-four thousand, sixteen".