131880528 has 160 divisors (see below), whose sum is σ = 425806080. Its totient is φ = 38776320.

The previous prime is 131880523. The next prime is 131880557. The reversal of 131880528 is 825088131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131880492 and 131880501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131880523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128658 + ... + 129678.

It is an arithmetic number, because the mean of its divisors is an integer number (2661288).

Almost surely, 2^131880528 is an apocalyptic number.

131880528 is a gapful number since it is divisible by the number (18) 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 131880528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903040).

131880528 is an abundant number, since it is smaller than the sum of its proper divisors (293925552).

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

131880528 is a wasteful number, since it uses less digits than its factorization.

131880528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 131880528 is about 11483.9247646438. The cubic root of 131880528 is about 509.0106772604.

The spelling of 131880528 in words is "one hundred thirty-one million, eight hundred eighty thousand, five hundred twenty-eight".