131097540 has 288 divisors, whose sum is σ = 470219904. Its totient is φ = 27095040.

The previous prime is 131097517. The next prime is 131097559. The reversal of 131097540 is 45790131.

131097540 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131097498 and 131097507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2149110 + ... + 2149170.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^131097540 is an apocalyptic number.

131097540 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 131097540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235109952).

131097540 is an abundant number, since it is smaller than the sum of its proper divisors (339122364).

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

131097540 is a wasteful number, since it uses less digits than its factorization.

131097540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 131097540 is about 11449.7834040649. The cubic root of 131097540 is about 508.0013278325.

The spelling of 131097540 in words is "one hundred thirty-one million, ninety-seven thousand, five hundred forty".