131688480 has 288 divisors, whose sum is σ = 527446080. Its totient is φ = 27310080.

The previous prime is 131688467. The next prime is 131688503. The reversal of 131688480 is 84886131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258466 + ... + 258974.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^131688480 is an apocalyptic number.

131688480 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 131688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263723040).

131688480 is an abundant number, since it is smaller than the sum of its proper divisors (395757600).

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

131688480 is a wasteful number, since it uses less digits than its factorization.

131688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 131688480 is about 11475.5601170488. The cubic root of 131688480 is about 508.7634788469.

The spelling of 131688480 in words is "one hundred thirty-one million, six hundred eighty-eight thousand, four hundred eighty".