131347440 has 480 divisors, whose sum is σ = 564874560. Its totient is φ = 27869184.

The previous prime is 131347439. The next prime is 131347441. The reversal of 131347440 is 44743131.

It is an interprime number because it is at equal distance from previous prime (131347439) and next prime (131347441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131347441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1799244 + ... + 1799316.

It is an arithmetic number, because the mean of its divisors is an integer number (1176822).

Almost surely, 2^131347440 is an apocalyptic number.

131347440 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 131347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282437280).

131347440 is an abundant number, since it is smaller than the sum of its proper divisors (433527120).

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

131347440 is a wasteful number, since it uses less digits than its factorization.

131347440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 131347440 is about 11460.6910786392. The cubic root of 131347440 is about 508.3239094075.

The spelling of 131347440 in words is "one hundred thirty-one million, three hundred forty-seven thousand, four hundred forty".