131549040 has 240 divisors, whose sum is σ = 517490688. Its totient is φ = 29320704.

The previous prime is 131549039. The next prime is 131549051. The reversal of 131549040 is 40945131.

131549040 is a `hidden beast` number, since 131 + 5 + 490 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 131548995 and 131549013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216417 + ... + 217023.

Almost surely, 2^131549040 is an apocalyptic number.

131549040 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 131549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258745344).

131549040 is an abundant number, since it is smaller than the sum of its proper divisors (385941648).

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

131549040 is a wasteful number, since it uses less digits than its factorization.

131549040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131549040 is about 11469.4829874759. The cubic root of 131549040 is about 508.5838452310.

The spelling of 131549040 in words is "one hundred thirty-one million, five hundred forty-nine thousand, forty".