131640 has 32 divisors (see below), whose sum is σ = 395280. Its totient is φ = 35072.

The previous prime is 131639. The next prime is 131641. The reversal of 131640 is 46131.

It is an interprime number because it is at equal distance from previous prime (131639) and next prime (131641).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429 + ... + 668.

2¹³¹⁶⁴⁰ is an apocalyptic number.

131640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131640 is an abundant number, since it is smaller than the sum of its proper divisors (263640).

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

131640 is a wasteful number, since it uses less digits than its factorization.

131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131640 is about 362.8222705403. The cubic root of 131640 is about 50.8701038860.

Adding to 131640 its reverse (46131), we get a palindrome (177771).

It can be divided in two parts, 13 and 1640, that added together give a triangular number (1653 = T₅₇).

The spelling of 131640 in words is "one hundred thirty-one thousand, six hundred forty".