158009348133 has 192 divisors, whose sum is σ = 295894310400. Its totient is φ = 82601835264.

The previous prime is 158009348117. The next prime is 158009348153. The reversal of 158009348133 is 331843900851.

158009348133 is a `hidden beast` number, since 1 + 5 + 80 + 0 + 93 + 481 + 3 + 3 = 666.

It is not a de Polignac number, because 158009348133 - 2⁴ = 158009348117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158009348153) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 406193503 + ... + 406193891.

It is an arithmetic number, because the mean of its divisors is an integer number (1541116200).

Almost surely, 2^158009348133 is an apocalyptic number.

158009348133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

158009348133 is a deficient number, since it is larger than the sum of its proper divisors (137884962267).

158009348133 is an equidigital number, since it uses as much as digits as its factorization.

158009348133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 158009348133 in words is "one hundred fifty-eight billion, nine million, three hundred forty-eight thousand, one hundred thirty-three".