131519720 has 48 divisors (see below), whose sum is σ = 300514860. Its totient is φ = 51803136.

The previous prime is 131519699. The next prime is 131519741. The reversal of 131519720 is 27915131.

It is an interprime number because it is at equal distance from previous prime (131519699) and next prime (131519741).

It can be written as a sum of positive squares in 6 ways, for example, as 27520516 + 103999204 = 5246^2 + 10198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212852 + ... + 213468.

Almost surely, 2^131519720 is an apocalyptic number.

131519720 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 131519720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150257430).

131519720 is an abundant number, since it is smaller than the sum of its proper divisors (168995140).

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

131519720 is an equidigital number, since it uses as much as digits as its factorization.

131519720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 131519720 is about 11468.2047418068. The cubic root of 131519720 is about 508.5460575833.

The spelling of 131519720 in words is "one hundred thirty-one million, five hundred nineteen thousand, seven hundred twenty".