131091840 has 192 divisors, whose sum is σ = 494067600. Its totient is φ = 31764480.

The previous prime is 131091823. The next prime is 131091841. The reversal of 131091840 is 48190131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131091841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62326 + ... + 64394.

Almost surely, 2^131091840 is an apocalyptic number.

131091840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247033800).

131091840 is an abundant number, since it is smaller than the sum of its proper divisors (362975760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131091840 is a wasteful number, since it uses less digits than its factorization.

131091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131091840 is about 11449.5344883537. The cubic root of 131091840 is about 507.9939652496.

The spelling of 131091840 in words is "one hundred thirty-one million, ninety-one thousand, eight hundred forty".