131430040 has 64 divisors (see below), whose sum is σ = 339148800. Its totient is φ = 44903808.

The previous prime is 131430007. The next prime is 131430041. The reversal of 131430040 is 40034131.

It is a junction number, because it is equal to n+sod(n) for n = 131429996 and 131430023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131430041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102121 + ... + 103399.

It is an arithmetic number, because the mean of its divisors is an integer number (5299200).

Almost surely, 2^131430040 is an apocalyptic number.

131430040 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 131430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169574400).

131430040 is an abundant number, since it is smaller than the sum of its proper divisors (207718760).

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

131430040 is a wasteful number, since it uses less digits than its factorization.

131430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131430040 is about 11464.2941343983. The cubic root of 131430040 is about 508.4304430318.

Adding to 131430040 its reverse (40034131), we get a palindrome (171464171).

The spelling of 131430040 in words is "one hundred thirty-one million, four hundred thirty thousand, forty".