150165378384 has 320 divisors, whose sum is σ = 501293629440. Its totient is φ = 37729198080.

The previous prime is 150165378379. The next prime is 150165378403. The reversal of 150165378384 is 483873561051.

150165378384 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 (51).

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 63 ways as a sum of consecutive naturals, for example, 5120467 + ... + 5149709.

It is an arithmetic number, because the mean of its divisors is an integer number (1566542592).

Almost surely, 2^150165378384 is an apocalyptic number.

150165378384 is a gapful number since it is divisible by the number (14) 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 150165378384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250646814720).

150165378384 is an abundant number, since it is smaller than the sum of its proper divisors (351128251056).

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

150165378384 is a wasteful number, since it uses less digits than its factorization.

150165378384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29338 (or 29332 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 150165378384 in words is "one hundred fifty billion, one hundred sixty-five million, three hundred seventy-eight thousand, three hundred eighty-four".