131435640 has 144 divisors (see below), whose sum is σ = 496973880. Its totient is φ = 30038400.

The previous prime is 131435621. The next prime is 131435651. The reversal of 131435640 is 46534131.

131435640 is a `hidden beast` number, since 1 + 3 + 14 + 3 + 5 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13915 + ... + 21365.

Almost surely, 2^131435640 is an apocalyptic number.

131435640 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 131435640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248486940).

131435640 is an abundant number, since it is smaller than the sum of its proper divisors (365538240).

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

131435640 is a wasteful number, since it uses less digits than its factorization.

131435640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 131435640 is about 11464.5383683775. The cubic root of 131435640 is about 508.4376640346.

Adding to 131435640 its reverse (46534131), we get a palindrome (177969771).

The spelling of 131435640 in words is "one hundred thirty-one million, four hundred thirty-five thousand, six hundred forty".