131785740 has 72 divisors (see below), whose sum is σ = 404612208. Its totient is φ = 34715520.

The previous prime is 131785739. The next prime is 131785757. The reversal of 131785740 is 47587131.

131785740 is a `hidden beast` number, since 13 + 1 + 78 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131785695 and 131785704.

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, 10530 + ... + 19350.

It is an arithmetic number, because the mean of its divisors is an integer number (5619614).

Almost surely, 2^131785740 is an apocalyptic number.

131785740 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 131785740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202306104).

131785740 is an abundant number, since it is smaller than the sum of its proper divisors (272826468).

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

131785740 is a wasteful number, since it uses less digits than its factorization.

131785740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 131785740 is about 11479.7970365334. The cubic root of 131785740 is about 508.8886990105. Note that the first 3 decimals are identical.

The spelling of 131785740 in words is "one hundred thirty-one million, seven hundred eighty-five thousand, seven hundred forty".