131546880 has 216 divisors, whose sum is σ = 479890320. Its totient is φ = 33177600.

The previous prime is 131546851. The next prime is 131546881. The reversal of 131546880 is 88645131.

131546880 is a `hidden beast` number, since 1 + 31 + 546 + 8 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131546881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218580 + ... + 219180.

Almost surely, 2^131546880 is an apocalyptic number.

131546880 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 131546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239945160).

131546880 is an abundant number, since it is smaller than the sum of its proper divisors (348343440).

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

131546880 is a wasteful number, since it uses less digits than its factorization.

131546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 131546880 is about 11469.3888241702. The cubic root of 131546880 is about 508.5810616123.

The spelling of 131546880 in words is "one hundred thirty-one million, five hundred forty-six thousand, eight hundred eighty".