131585340 has 48 divisors (see below), whose sum is σ = 374693760. Its totient is φ = 34493760.

The previous prime is 131585329. The next prime is 131585341. The reversal of 131585340 is 43585131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131585298 and 131585307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131585341) 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, 15046 + ... + 22125.

It is an arithmetic number, because the mean of its divisors is an integer number (7806120).

Almost surely, 2^131585340 is an apocalyptic number.

131585340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131585340 is an abundant number, since it is smaller than the sum of its proper divisors (243108420).

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

131585340 is a wasteful number, since it uses less digits than its factorization.

131585340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37242 (or 37240 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 131585340 is about 11471.0653384941. The cubic root of 131585340 is about 508.6306209321.

The spelling of 131585340 in words is "one hundred thirty-one million, five hundred eighty-five thousand, three hundred forty".