131232640 has 128 divisors (see below), whose sum is σ = 391288320. Its totient is φ = 40888320.

The previous prime is 131232631. The next prime is 131232643. The reversal of 131232640 is 46232131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131232643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47949 + ... + 50611.

It is an arithmetic number, because the mean of its divisors is an integer number (3056940).

Almost surely, 2^131232640 is an apocalyptic number.

131232640 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 131232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195644160).

131232640 is an abundant number, since it is smaller than the sum of its proper divisors (260055680).

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

131232640 is a wasteful number, since it uses less digits than its factorization.

131232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 131232640 is about 11455.6815598200. The cubic root of 131232640 is about 508.1757715265.

Adding to 131232640 its reverse (46232131), we get a palindrome (177464771).

The spelling of 131232640 in words is "one hundred thirty-one million, two hundred thirty-two thousand, six hundred forty".