131283288 has 64 divisors (see below), whose sum is σ = 366220800. Its totient is φ = 43575840.

The previous prime is 131283283. The next prime is 131283301. The reversal of 131283288 is 882382131.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131283281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55653 + ... + 57963.

It is an arithmetic number, because the mean of its divisors is an integer number (5722200).

Almost surely, 2^131283288 is an apocalyptic number.

131283288 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 131283288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183110400).

131283288 is an abundant number, since it is smaller than the sum of its proper divisors (234937512).

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

131283288 is a wasteful number, since it uses less digits than its factorization.

131283288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2579 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 131283288 is about 11457.8919527110. The cubic root of 131283288 is about 508.2411383338.

The spelling of 131283288 in words is "one hundred thirty-one million, two hundred eighty-three thousand, two hundred eighty-eight".