131171040 has 648 divisors, whose sum is σ = 615095208. Its totient is φ = 25159680.

The previous prime is 131171017. The next prime is 131171069. The reversal of 131171040 is 40171131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10090074 + ... + 10090086.

It is an arithmetic number, because the mean of its divisors is an integer number (949221).

Almost surely, 2^131171040 is an apocalyptic number.

131171040 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 131171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307547604).

131171040 is an abundant number, since it is smaller than the sum of its proper divisors (483924168).

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

131171040 is a wasteful number, since it uses less digits than its factorization.

131171040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 131171040 is about 11452.9926220181. The cubic root of 131171040 is about 508.0962472894.

Subtracting from 131171040 its reverse (40171131), we obtain a palindrome (90999909).

It can be divided in two parts, 131 and 171040, that added together give a palindrome (171171).

The spelling of 131171040 in words is "one hundred thirty-one million, one hundred seventy-one thousand, forty".