131097024 has 168 divisors, whose sum is σ = 395183360. Its totient is φ = 41513472.

The previous prime is 131097007. The next prime is 131097101. The reversal of 131097024 is 420790131.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 131097024 = 8³ + 508³ = 380³ + 424³.

It is a congruent number.

It is an unprimeable number.

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, 1659417 + ... + 1659495.

Almost surely, 2^131097024 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 131097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197591680).

131097024 is an abundant number, since it is smaller than the sum of its proper divisors (264086336).

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

131097024 is a wasteful number, since it uses less digits than its factorization.

131097024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131097024 is about 11449.7608708654. The cubic root of 131097024 is about 508.0006613338. Note that the first 3 decimals are identical.

The spelling of 131097024 in words is "one hundred thirty-one million, ninety-seven thousand, twenty-four".