131846145201 has 32 divisors (see below), whose sum is σ = 199139472000. Its totient is φ = 86184206784.

The previous prime is 131846145191. The next prime is 131846145227. The reversal of 131846145201 is 102541648131.

131846145201 is a `hidden beast` number, since 1 + 3 + 18 + 4 + 614 + 5 + 20 + 1 = 666.

It is not a de Polignac number, because 131846145201 - 2¹⁹ = 131845620913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131846145271) 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 31 ways as a sum of consecutive naturals, for example, 2288335 + ... + 2345243.

It is an arithmetic number, because the mean of its divisors is an integer number (6223108500).

Almost surely, 2^131846145201 is an apocalyptic number.

It is an amenable number.

131846145201 is a deficient number, since it is larger than the sum of its proper divisors (67293326799).

131846145201 is a wasteful number, since it uses less digits than its factorization.

131846145201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58590 (or 58584 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 131846145201 in words is "one hundred thirty-one billion, eight hundred forty-six million, one hundred forty-five thousand, two hundred one".