150120643680 has 960 divisors, whose sum is σ = 641415075840. Its totient is φ = 32335220736.

The previous prime is 150120643667. The next prime is 150120643697. The reversal of 150120643680 is 86346021051.

It is a happy number.

150120643680 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 2 + 0 + 643 + 6 + 8 + 0 = 666.

150120643680 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 (36).

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 159 ways as a sum of consecutive naturals, for example, 113127177 + ... + 113128503.

It is an arithmetic number, because the mean of its divisors is an integer number (668140704).

Almost surely, 2^150120643680 is an apocalyptic number.

150120643680 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 150120643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320707537920).

150120643680 is an abundant number, since it is smaller than the sum of its proper divisors (491294432160).

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

150120643680 is a wasteful number, since it uses less digits than its factorization.

150120643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 150120643680 in words is "one hundred fifty billion, one hundred twenty million, six hundred forty-three thousand, six hundred eighty".