150150255101000 has 256 divisors, whose sum is σ = 442301668024320. Its totient is φ = 46345707360000.

The previous prime is 150150255100957. The next prime is 150150255101009. The reversal of 150150255101000 is 101552051051.

It is not an unprimeable number, because it can be changed into a prime (150150255101009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1535036 + ... + 17397035.

It is an arithmetic number, because the mean of its divisors is an integer number (1727740890720).

Almost surely, 2^{150150255101000} is an apocalyptic number.

150150255101000 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 150150255101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221150834012160).

150150255101000 is an abundant number, since it is smaller than the sum of its proper divisors (292151412923320).

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

150150255101000 is a wasteful number, since it uses less digits than its factorization.

150150255101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18932213 (or 18932199 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 26.

The spelling of 150150255101000 in words is "one hundred fifty trillion, one hundred fifty billion, two hundred fifty-five million, one hundred one thousand".