131766880 has 96 divisors (see below), whose sum is σ = 363182400. Its totient is φ = 45177216.

The previous prime is 131766863. The next prime is 131766913. The reversal of 131766880 is 88667131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18823837 + ... + 18823843.

It is an arithmetic number, because the mean of its divisors is an integer number (3783150).

Almost surely, 2^131766880 is an apocalyptic number.

131766880 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 131766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181591200).

131766880 is an abundant number, since it is smaller than the sum of its proper divisors (231415520).

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

131766880 is an frugal number, since it uses more digits than its factorization.

131766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 131766880 is about 11478.9755640475. The cubic root of 131766880 is about 508.8644219814.

The spelling of 131766880 in words is "one hundred thirty-one million, seven hundred sixty-six thousand, eight hundred eighty".