131332640 has 48 divisors (see below), whose sum is σ = 311954328. Its totient is φ = 52248576.

The previous prime is 131332639. The next prime is 131332657. The reversal of 131332640 is 46233131.

It can be written as a sum of positive squares in 4 ways, for example, as 60031504 + 71301136 = 7748^2 + 8444^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28754 + ... + 33006.

Almost surely, 2^131332640 is an apocalyptic number.

131332640 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 131332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155977164).

131332640 is an abundant number, since it is smaller than the sum of its proper divisors (180621688).

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

131332640 is a wasteful number, since it uses less digits than its factorization.

131332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 131332640 is about 11460.0453751283. The cubic root of 131332640 is about 508.3048163405.

Adding to 131332640 its reverse (46233131), we get a palindrome (177565771).

The spelling of 131332640 in words is "one hundred thirty-one million, three hundred thirty-two thousand, six hundred forty".