150240832560 has 1280 divisors, whose sum is σ = 684956160000. Its totient is φ = 29994209280.

The previous prime is 150240832559. The next prime is 150240832571. The reversal of 150240832560 is 65238042051.

150240832560 is a `hidden beast` number, since 1 + 50 + 2 + 40 + 8 + 3 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 182996950 + ... + 182997770.

It is an arithmetic number, because the mean of its divisors is an integer number (535122000).

Almost surely, 2^150240832560 is an apocalyptic number.

150240832560 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 150240832560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342478080000).

150240832560 is an abundant number, since it is smaller than the sum of its proper divisors (534715327440).

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

150240832560 is a wasteful number, since it uses less digits than its factorization.

150240832560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 150240832560 in words is "one hundred fifty billion, two hundred forty million, eight hundred thirty-two thousand, five hundred sixty".