131166405 has 32 divisors (see below), whose sum is σ = 245462400. Its totient is φ = 66272256.

The previous prime is 131166379. The next prime is 131166461. The reversal of 131166405 is 504661131.

131166405 is a `hidden beast` number, since 1 + 3 + 1 + 16 + 640 + 5 = 666.

It is not a de Polignac number, because 131166405 - 2⁶ = 131166341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23004 + ... + 28133.

It is an arithmetic number, because the mean of its divisors is an integer number (7670700).

Almost surely, 2^131166405 is an apocalyptic number.

131166405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131166405 is a deficient number, since it is larger than the sum of its proper divisors (114295995).

131166405 is a wasteful number, since it uses less digits than its factorization.

131166405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51170 (or 51164 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131166405 is about 11452.7902713706. The cubic root of 131166405 is about 508.0902625999.

The spelling of 131166405 in words is "one hundred thirty-one million, one hundred sixty-six thousand, four hundred five".