131412240 has 160 divisors (see below), whose sum is σ = 458720640. Its totient is φ = 34573824.

The previous prime is 131412223. The next prime is 131412247. The reversal of 131412240 is 42214131.

131412240 is a `hidden beast` number, since 13 + 1 + 412 + 240 = 666.

It is a super-3 number, since 3×131412240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131412247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178914 + ... + 179646.

It is an arithmetic number, because the mean of its divisors is an integer number (2867004).

Almost surely, 2^131412240 is an apocalyptic number.

131412240 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 131412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229360320).

131412240 is an abundant number, since it is smaller than the sum of its proper divisors (327308400).

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

131412240 is a wasteful number, since it uses less digits than its factorization.

131412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131412240 is about 11463.5177846942. The cubic root of 131412240 is about 508.4074891965.

Adding to 131412240 its reverse (42214131), we get a palindrome (173626371).

The spelling of 131412240 in words is "one hundred thirty-one million, four hundred twelve thousand, two hundred forty".