150789261283920 has 1440 divisors, whose sum is σ = 639371565600768. Its totient is φ = 32345823218688.

The previous prime is 150789261283883. The next prime is 150789261283943. The reversal of 150789261283920 is 29382162987051.

150789261283920 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 8 + 9 + 2 + 612 + 8 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 5256347817 + ... + 5256376503.

Almost surely, 2^{150789261283920} is an apocalyptic number.

150789261283920 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 150789261283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319685782800384).

150789261283920 is an abundant number, since it is smaller than the sum of its proper divisors (488582304316848).

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

150789261283920 is a wasteful number, since it uses less digits than its factorization.

150789261283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28867 (or 28830 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 150789261283920 in words is "one hundred fifty trillion, seven hundred eighty-nine billion, two hundred sixty-one million, two hundred eighty-three thousand, nine hundred twenty".