131097512 has 128 divisors (see below), whose sum is σ = 322775040. Its totient is φ = 48522240.

The previous prime is 131097509. The next prime is 131097517. The reversal of 131097512 is 215790131.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 131097512 = 10³ + 508³ = 394³ + 412³.

It is not an unprimeable number, because it can be changed into a prime (131097517) 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 31 ways as a sum of consecutive naturals, for example, 834938 + ... + 835094.

It is an arithmetic number, because the mean of its divisors is an integer number (2521680).

Almost surely, 2^131097512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131097512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161387520).

131097512 is an abundant number, since it is smaller than the sum of its proper divisors (191677528).

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

131097512 is a wasteful number, since it uses less digits than its factorization.

131097512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 131097512 is about 11449.7821813343. The cubic root of 131097512 is about 508.0012916660.

The spelling of 131097512 in words is "one hundred thirty-one million, ninety-seven thousand, five hundred twelve".