131671540 has 96 divisors (see below), whose sum is σ = 371314944. Its totient is φ = 37877760.

The previous prime is 131671537. The next prime is 131671543. The reversal of 131671540 is 45176131.

It is an interprime number because it is at equal distance from previous prime (131671537) and next prime (131671543).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131671499 and 131671508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131671543) 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, 16732 + ... + 23308.

It is an arithmetic number, because the mean of its divisors is an integer number (3867864).

Almost surely, 2^131671540 is an apocalyptic number.

131671540 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 131671540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185657472).

131671540 is an abundant number, since it is smaller than the sum of its proper divisors (239643404).

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

131671540 is a wasteful number, since it uses less digits than its factorization.

131671540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 131671540 is about 11474.8220029768. The cubic root of 131671540 is about 508.7416626564.

The spelling of 131671540 in words is "one hundred thirty-one million, six hundred seventy-one thousand, five hundred forty".