131406540 has 48 divisors (see below), whose sum is σ = 380630880. Its totient is φ = 33832960.

The previous prime is 131406533. The next prime is 131406547. The reversal of 131406540 is 45604131.

It is an interprime number because it is at equal distance from previous prime (131406533) and next prime (131406547).

It is a super-3 number, since 3×131406540³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131406540.

It is not an unprimeable number, because it can be changed into a prime (131406547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36021 + ... + 39500.

It is an arithmetic number, because the mean of its divisors is an integer number (7929810).

Almost surely, 2^131406540 is an apocalyptic number.

131406540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131406540 is an abundant number, since it is smaller than the sum of its proper divisors (249224340).

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

131406540 is a wasteful number, since it uses less digits than its factorization.

131406540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75562 (or 75560 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 131406540 is about 11463.2691672140. The cubic root of 131406540 is about 508.4001383729.

The spelling of 131406540 in words is "one hundred thirty-one million, four hundred six thousand, five hundred forty".