150220868832 has 144 divisors (see below), whose sum is σ = 453294917712. Its totient is φ = 47026483200.

The previous prime is 150220868821. The next prime is 150220868843. The reversal of 150220868832 is 238868022051.

150220868832 is a `hidden beast` number, since 1 + 502 + 2 + 0 + 8 + 68 + 83 + 2 = 666.

150220868832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150220868821) and next prime (150220868843).

It is a tau number, because it is divible by the number of its divisors (144).

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, 2253582 + ... + 2319282.

It is an arithmetic number, because the mean of its divisors is an integer number (3147881373).

Almost surely, 2^150220868832 is an apocalyptic number.

150220868832 is a gapful number since it is divisible by the number (12) 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 150220868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226647458856).

150220868832 is an abundant number, since it is smaller than the sum of its proper divisors (303074048880).

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

150220868832 is a wasteful number, since it uses less digits than its factorization.

150220868832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66201 (or 66190 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 150220868832 in words is "one hundred fifty billion, two hundred twenty million, eight hundred sixty-eight thousand, eight hundred thirty-two".