131893344 has 288 divisors, whose sum is σ = 452874240. Its totient is φ = 35942400.

The previous prime is 131893343. The next prime is 131893373. The reversal of 131893344 is 443398131.

131893344 is a `hidden beast` number, since 1 + 318 + 9 + 334 + 4 = 666.

131893344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 131893299 and 131893308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131893343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669497 + ... + 1669575.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^131893344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

131893344 is an abundant number, since it is smaller than the sum of its proper divisors (320980896).

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

131893344 is a wasteful number, since it uses less digits than its factorization.

131893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 131893344 is about 11484.4827484741. The cubic root of 131893344 is about 509.0271650863.

The spelling of 131893344 in words is "one hundred thirty-one million, eight hundred ninety-three thousand, three hundred forty-four".