131975424 has 216 divisors, whose sum is σ = 446409600. Its totient is φ = 37481472.

The previous prime is 131975423. The next prime is 131975443. The reversal of 131975424 is 424579131.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131975423) 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 23 ways as a sum of consecutive naturals, for example, 790189 + ... + 790355.

Almost surely, 2^131975424 is an apocalyptic number.

131975424 is a gapful number since it is divisible by the number (14) 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 131975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223204800).

131975424 is an abundant number, since it is smaller than the sum of its proper divisors (314434176).

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

131975424 is an equidigital number, since it uses as much as digits as its factorization.

131975424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 131975424 is about 11488.0557101713. The cubic root of 131975424 is about 509.1327359574.

The spelling of 131975424 in words is "one hundred thirty-one million, nine hundred seventy-five thousand, four hundred twenty-four".