131534040 has 128 divisors (see below), whose sum is σ = 433278720. Its totient is φ = 31680000.

The previous prime is 131534021. The next prime is 131534041. The reversal of 131534040 is 40435131.

131534040 = T₁₃₁ + T₁₃₂ + ... + T₉₂₄.

It is a junction number, because it is equal to n+sod(n) for n = 131533998 and 131534016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131534041) 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, 331122 + ... + 331518.

It is an arithmetic number, because the mean of its divisors is an integer number (3384990).

Almost surely, 2^131534040 is an apocalyptic number.

131534040 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 131534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216639360).

131534040 is an abundant number, since it is smaller than the sum of its proper divisors (301744680).

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

131534040 is a wasteful number, since it uses less digits than its factorization.

131534040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 131534040 is about 11468.8290596730. The cubic root of 131534040 is about 508.5645139164.

Adding to 131534040 its reverse (40435131), we get a palindrome (171969171).

The spelling of 131534040 in words is "one hundred thirty-one million, five hundred thirty-four thousand, forty".