131775640 has 64 divisors (see below), whose sum is σ = 319788000. Its totient is φ = 48706560.

The previous prime is 131775613. The next prime is 131775641. The reversal of 131775640 is 46577131.

131775640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131775596 and 131775605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131775641) 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, 29046 + ... + 33274.

Almost surely, 2^131775640 is an apocalyptic number.

131775640 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 131775640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159894000).

131775640 is an abundant number, since it is smaller than the sum of its proper divisors (188012360).

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

131775640 is a wasteful number, since it uses less digits than its factorization.

131775640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 131775640 is about 11479.3571248568. The cubic root of 131775640 is about 508.8756983445.

The spelling of 131775640 in words is "one hundred thirty-one million, seven hundred seventy-five thousand, six hundred forty".