150385056100 has 72 divisors (see below), whose sum is σ = 343206033408. Its totient is φ = 57085459200.

The previous prime is 150385056089. The next prime is 150385056103. The reversal of 150385056100 is 1650583051.

It is not an unprimeable number, because it can be changed into a prime (150385056103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34680 + ... + 549520.

It is an arithmetic number, because the mean of its divisors is an integer number (4766750464).

Almost surely, 2^150385056100 is an apocalyptic number.

150385056100 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 150385056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171603016704).

150385056100 is an abundant number, since it is smaller than the sum of its proper divisors (192820977308).

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

150385056100 is a wasteful number, since it uses less digits than its factorization.

150385056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515005 (or 514998 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 150385056100 in words is "one hundred fifty billion, three hundred eighty-five million, fifty-six thousand, one hundred".