131662080 has 216 divisors, whose sum is σ = 497427840. Its totient is φ = 31887360.

The previous prime is 131662079. The next prime is 131662103. The reversal of 131662080 is 80266131.

131662080 is a `hidden beast` number, since 1 + 31 + 6 + 620 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126201 + ... + 127239.

Almost surely, 2^131662080 is an apocalyptic number.

131662080 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 131662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248713920).

131662080 is an abundant number, since it is smaller than the sum of its proper divisors (365765760).

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

131662080 is a wasteful number, since it uses less digits than its factorization.

131662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131662080 is about 11474.4097887429. The cubic root of 131662080 is about 508.7294787747.

The spelling of 131662080 in words is "one hundred thirty-one million, six hundred sixty-two thousand, eighty".