131735940 has 96 divisors (see below), whose sum is σ = 426746880. Its totient is φ = 29740416.

The previous prime is 131735921. The next prime is 131735953. The reversal of 131735940 is 49537131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32971 + ... + 36749.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2^131735940 is an apocalyptic number.

131735940 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 131735940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

131735940 is an abundant number, since it is smaller than the sum of its proper divisors (295010940).

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

131735940 is a wasteful number, since it uses less digits than its factorization.

131735940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 131735940 is about 11477.6278036884. The cubic root of 131735940 is about 508.8245902784.

The spelling of 131735940 in words is "one hundred thirty-one million, seven hundred thirty-five thousand, nine hundred forty".