131717040 has 320 divisors, whose sum is σ = 519300096. Its totient is φ = 26873856.

The previous prime is 131717023. The next prime is 131717081. The reversal of 131717040 is 40717131.

131717040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 131717040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807999 + ... + 808161.

Almost surely, 2^131717040 is an apocalyptic number.

131717040 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 131717040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259650048).

131717040 is an abundant number, since it is smaller than the sum of its proper divisors (387583056).

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

131717040 is a wasteful number, since it uses less digits than its factorization.

131717040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 131717040 is about 11476.8044332907. The cubic root of 131717040 is about 508.8002556266.

Subtracting from 131717040 its reverse (40717131), we obtain a palindrome (90999909).

The spelling of 131717040 in words is "one hundred thirty-one million, seven hundred seventeen thousand, forty".