131532320 has 48 divisors (see below), whose sum is σ = 317374848. Its totient is φ = 51490560.

The previous prime is 131532311. The next prime is 131532337. The reversal of 131532320 is 23235131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131532292 and 131532301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1226 + ... + 16265.

It is an arithmetic number, because the mean of its divisors is an integer number (6611976).

Almost surely, 2^131532320 is an apocalyptic number.

131532320 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 131532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158687424).

131532320 is an abundant number, since it is smaller than the sum of its proper divisors (185842528).

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

131532320 is a wasteful number, since it uses less digits than its factorization.

131532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17553 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 131532320 is about 11468.7540735688. The cubic root of 131532320 is about 508.5622971650.

Adding to 131532320 its reverse (23235131), we get a palindrome (154767451).

The spelling of 131532320 in words is "one hundred thirty-one million, five hundred thirty-two thousand, three hundred twenty".