131412134040 has 256 divisors, whose sum is σ = 433274365440. Its totient is φ = 31621632000.

The previous prime is 131412134039. The next prime is 131412134059. The reversal of 131412134040 is 40431214131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131412134040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128708730 + ... + 128709750.

It is an arithmetic number, because the mean of its divisors is an integer number (1692477990).

Almost surely, 2^131412134040 is an apocalyptic number.

131412134040 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 131412134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216637182720).

131412134040 is an abundant number, since it is smaller than the sum of its proper divisors (301862231400).

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

131412134040 is a wasteful number, since it uses less digits than its factorization.

131412134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131412134040 its reverse (40431214131), we get a palindrome (171843348171).

The spelling of 131412134040 in words is "one hundred thirty-one billion, four hundred twelve million, one hundred thirty-four thousand, forty".