131607540 has 144 divisors (see below), whose sum is σ = 433414800. Its totient is φ = 32194560.

The previous prime is 131607527. The next prime is 131607559. The reversal of 131607540 is 45706131.

131607540 is a `hidden beast` number, since 1 + 3 + 1 + 607 + 54 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 138384 + 131469156 = 372^2 + 11466^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124936 + ... + 125984.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 2^131607540 is an apocalyptic number.

131607540 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 131607540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216707400).

131607540 is an abundant number, since it is smaller than the sum of its proper divisors (301807260).

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

131607540 is a wasteful number, since it uses less digits than its factorization.

131607540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131607540 is about 11472.0329497435. The cubic root of 131607540 is about 508.6592233201.

The spelling of 131607540 in words is "one hundred thirty-one million, six hundred seven thousand, five hundred forty".