131946880 has 64 divisors (see below), whose sum is σ = 339721200. Its totient is φ = 48715776.

The previous prime is 131946863. The next prime is 131946889. The reversal of 131946880 is 88649131.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131946889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391 + ... + 16249.

Almost surely, 2^131946880 is an apocalyptic number.

131946880 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 131946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169860600).

131946880 is an abundant number, since it is smaller than the sum of its proper divisors (207774320).

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

131946880 is a wasteful number, since it uses less digits than its factorization.

131946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15891 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 131946880 is about 11486.8133091820. The cubic root of 131946880 is about 509.0960277778.

The spelling of 131946880 in words is "one hundred thirty-one million, nine hundred forty-six thousand, eight hundred eighty".