131846688 has 72 divisors (see below), whose sum is σ = 385103628. Its totient is φ = 42757632.

The previous prime is 131846683. The next prime is 131846711. The reversal of 131846688 is 886648131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 124813584 + 7033104 = 11172^2 + 2652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131846683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4470 + ... + 16842.

Almost surely, 2^131846688 is an apocalyptic number.

131846688 is a gapful number since it is divisible by the number (18) 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 131846688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192551814).

131846688 is an abundant number, since it is smaller than the sum of its proper divisors (253256940).

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

131846688 is a wasteful number, since it uses less digits than its factorization.

131846688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12426 (or 12415 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 131846688 is about 11482.4513062325. The cubic root of 131846688 is about 508.9671368554.

The spelling of 131846688 in words is "one hundred thirty-one million, eight hundred forty-six thousand, six hundred eighty-eight".