150326309133 has 256 divisors, whose sum is σ = 318637670400. Its totient is φ = 67448712960.

The previous prime is 150326309129. The next prime is 150326309137. The reversal of 150326309133 is 331903623051.

150326309133 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 2 + 630 + 9 + 13 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (150326309129) and next prime (150326309137).

It is not a de Polignac number, because 150326309133 - 2² = 150326309129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150326309137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42619816 + ... + 42623342.

It is an arithmetic number, because the mean of its divisors is an integer number (1244678400).

Almost surely, 2^150326309133 is an apocalyptic number.

150326309133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

150326309133 is an abundant number, since it is smaller than the sum of its proper divisors (168311361267).

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

150326309133 is a wasteful number, since it uses less digits than its factorization.

150326309133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 150326309133 in words is "one hundred fifty billion, three hundred twenty-six million, three hundred nine thousand, one hundred thirty-three".