131813136 has 240 divisors, whose sum is σ = 474969600. Its totient is φ = 34691328.

The previous prime is 131813113. The next prime is 131813153. The reversal of 131813136 is 631318131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274945 + ... + 275423.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2^131813136 is an apocalyptic number.

131813136 is a gapful number since it is divisible by the number (16) 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 131813136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

131813136 is an abundant number, since it is smaller than the sum of its proper divisors (343156464).

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

131813136 is a wasteful number, since it uses less digits than its factorization.

131813136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 131813136 is about 11480.9902011978. The cubic root of 131813136 is about 508.9239596511.

The spelling of 131813136 in words is "one hundred thirty-one million, eight hundred thirteen thousand, one hundred thirty-six".