131892801 has 12 divisors (see below), whose sum is σ = 177777936. Its totient is φ = 86970880.

The previous prime is 131892799. The next prime is 131892811. The reversal of 131892801 is 108298131.

It is not a de Polignac number, because 131892801 - 2¹ = 131892799 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (131892811) 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 11 ways as a sum of consecutive naturals, for example, 205441 + ... + 206081.

It is an arithmetic number, because the mean of its divisors is an integer number (14814828).

Almost surely, 2^131892801 is an apocalyptic number.

It is an amenable number.

131892801 is a deficient number, since it is larger than the sum of its proper divisors (45885135).

131892801 is an frugal number, since it uses more digits than its factorization.

131892801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 131892801 is about 11484.4591078553. The cubic root of 131892801 is about 509.0264665367.

The spelling of 131892801 in words is "one hundred thirty-one million, eight hundred ninety-two thousand, eight hundred one".