131134410 has 128 divisors (see below), whose sum is σ = 387763200. Its totient is φ = 31268160.

The previous prime is 131134369. The next prime is 131134457. The reversal of 131134410 is 14431131.

131134410 is a `hidden beast` number, since 1 + 311 + 344 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198661 + ... + 199319.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^131134410 is an apocalyptic number.

131134410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131134410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

131134410 is an abundant number, since it is smaller than the sum of its proper divisors (256628790).

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

131134410 is a wasteful number, since it uses less digits than its factorization.

131134410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131134410 is about 11451.3933650015. The cubic root of 131134410 is about 508.0489469649.

Adding to 131134410 its reverse (14431131), we get a palindrome (145565541).

It can be divided in two parts, 1311 and 34410, that added together give a square (35721 = 189²).

The spelling of 131134410 in words is "one hundred thirty-one million, one hundred thirty-four thousand, four hundred ten".