131006720 has 72 divisors (see below), whose sum is σ = 337983576. Its totient is φ = 48365568.

The previous prime is 131006669. The next prime is 131006731. The reversal of 131006720 is 27600131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4129024 + 126877696 = 2032^2 + 11264^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131006692 and 131006701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12704 + ... + 20576.

Almost surely, 2^131006720 is an apocalyptic number.

131006720 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 131006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168991788).

131006720 is an abundant number, since it is smaller than the sum of its proper divisors (206976856).

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

131006720 is an equidigital number, since it uses as much as digits as its factorization.

131006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 131006720 is about 11445.8167030579. The cubic root of 131006720 is about 507.8839919449.

Adding to 131006720 its reverse (27600131), we get a palindrome (158606851).

The spelling of 131006720 in words is "one hundred thirty-one million, six thousand, seven hundred twenty".