131906401 has 8 divisors (see below), whose sum is σ = 145869984. Its totient is φ = 118271520.

The previous prime is 131906387. The next prime is 131906419. The reversal of 131906401 is 104609131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131906401 - 2⁹ = 131905889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131906491) 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 7 ways as a sum of consecutive naturals, for example, 81331 + ... + 82936.

It is an arithmetic number, because the mean of its divisors is an integer number (18233748).

Almost surely, 2^131906401 is an apocalyptic number.

131906401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131906401 is a deficient number, since it is larger than the sum of its proper divisors (13963583).

131906401 is a wasteful number, since it uses less digits than its factorization.

131906401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164351.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 131906401 is about 11485.0511970996. The cubic root of 131906401 is about 509.0439618610.

It can be divided in two parts, 13190 and 6401, that added together give a palindrome (19591).

The spelling of 131906401 in words is "one hundred thirty-one million, nine hundred six thousand, four hundred one".