131567040 has 168 divisors, whose sum is σ = 493794288. Its totient is φ = 31887360.

The previous prime is 131567021. The next prime is 131567071. The reversal of 131567040 is 40765131.

It is a junction number, because it is equal to n+sod(n) for n = 131566995 and 131567013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29604 + ... + 33756.

Almost surely, 2^131567040 is an apocalyptic number.

131567040 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 131567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246897144).

131567040 is an abundant number, since it is smaller than the sum of its proper divisors (362227248).

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

131567040 is a wasteful number, since it uses less digits than its factorization.

131567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131567040 is about 11470.2676516287. The cubic root of 131567040 is about 508.6070408690.

The spelling of 131567040 in words is "one hundred thirty-one million, five hundred sixty-seven thousand, forty".