131546688 has 112 divisors (see below), whose sum is σ = 428426880. Its totient is φ = 34689024.

The previous prime is 131546669. The next prime is 131546693. The reversal of 131546688 is 886645131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×131546688² = 34609062247538688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 13708 + ... + 21236.

It is an arithmetic number, because the mean of its divisors is an integer number (3825240).

Almost surely, 2^131546688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131546688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214213440).

131546688 is an abundant number, since it is smaller than the sum of its proper divisors (296880192).

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

131546688 is a wasteful number, since it uses less digits than its factorization.

131546688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7554 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 131546688 is about 11469.3804540612. The cubic root of 131546688 is about 508.5808141780.

The spelling of 131546688 in words is "one hundred thirty-one million, five hundred forty-six thousand, six hundred eighty-eight".