131005140 has 96 divisors (see below), whose sum is σ = 420833280. Its totient is φ = 29828736.

The previous prime is 131005117. The next prime is 131005157. The reversal of 131005140 is 41500131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 158769 + ... + 159591.

It is an arithmetic number, because the mean of its divisors is an integer number (4383680).

Almost surely, 2^131005140 is an apocalyptic number.

131005140 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 131005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210416640).

131005140 is an abundant number, since it is smaller than the sum of its proper divisors (289828140).

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

131005140 is a wasteful number, since it uses less digits than its factorization.

131005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131005140 is about 11445.7476819996. The cubic root of 131005140 is about 507.8819501668.

Adding to 131005140 its reverse (41500131), we get a palindrome (172505271).

The spelling of 131005140 in words is "one hundred thirty-one million, five thousand, one hundred forty".