150094869840 has 120 divisors (see below), whose sum is σ = 505339261128. Its totient is φ = 39924403200.

The previous prime is 150094869817. The next prime is 150094869853. The reversal of 150094869840 is 48968490051.

150094869840 is a `hidden beast` number, since 1 + 500 + 9 + 4 + 8 + 6 + 98 + 40 = 666.

150094869840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10941996816 + 139152873024 = 104604^2 + 373032^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 23290 + ... + 548390.

Almost surely, 2^150094869840 is an apocalyptic number.

150094869840 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 150094869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252669630564).

150094869840 is an abundant number, since it is smaller than the sum of its proper divisors (355244391288).

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

150094869840 is a wasteful number, since it uses less digits than its factorization.

150094869840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525517 (or 525508 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 150094869840 in words is "one hundred fifty billion, ninety-four million, eight hundred sixty-nine thousand, eight hundred forty".