131415138 has 48 divisors (see below), whose sum is σ = 300807936. Its totient is φ = 41398560.

The previous prime is 131415121. The next prime is 131415199. The reversal of 131415138 is 831514131.

131415138 is a `hidden beast` number, since 1 + 3 + 141 + 513 + 8 = 666.

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, 21256 + ... + 26732.

It is an arithmetic number, because the mean of its divisors is an integer number (6266832).

Almost surely, 2^131415138 is an apocalyptic number.

131415138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131415138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150403968).

131415138 is an abundant number, since it is smaller than the sum of its proper divisors (169392798).

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

131415138 is a wasteful number, since it uses less digits than its factorization.

131415138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5556 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 131415138 is about 11463.6441849876. The cubic root of 131415138 is about 508.4112264285.

Adding to 131415138 its reverse (831514131), we get a palindrome (962929269).

The spelling of 131415138 in words is "one hundred thirty-one million, four hundred fifteen thousand, one hundred thirty-eight".