131545524 has 144 divisors (see below), whose sum is σ = 372351168. Its totient is φ = 35712000.

The previous prime is 131545517. The next prime is 131545529. The reversal of 131545524 is 425545131.

Its product of digits (12000) is a multiple of the sum of its prime divisors (125).

It is a junction number, because it is equal to n+sod(n) for n = 131545491 and 131545500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131545529) 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 47 ways as a sum of consecutive naturals, for example, 2156454 + ... + 2156514.

It is an arithmetic number, because the mean of its divisors is an integer number (2585772).

Almost surely, 2^131545524 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 131545524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186175584).

131545524 is an abundant number, since it is smaller than the sum of its proper divisors (240805644).

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

131545524 is a wasteful number, since it uses less digits than its factorization.

131545524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 131545524 is about 11469.3297101444. The cubic root of 131545524 is about 508.5793141027.

The spelling of 131545524 in words is "one hundred thirty-one million, five hundred forty-five thousand, five hundred twenty-four".