131288472 has 128 divisors (see below), whose sum is σ = 430387200. Its totient is φ = 36288000.

The previous prime is 131288471. The next prime is 131288477. The reversal of 131288472 is 274882131.

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 (131288471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45472 + ... + 48272.

It is an arithmetic number, because the mean of its divisors is an integer number (3362400).

Almost surely, 2^131288472 is an apocalyptic number.

131288472 is a gapful number since it is divisible by the number (12) 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 131288472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215193600).

131288472 is an abundant number, since it is smaller than the sum of its proper divisors (299098728).

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

131288472 is a wasteful number, since it uses less digits than its factorization.

131288472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2844 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 131288472 is about 11458.1181701011. The cubic root of 131288472 is about 508.2478279067.

The spelling of 131288472 in words is "one hundred thirty-one million, two hundred eighty-eight thousand, four hundred seventy-two".