131893072 has 40 divisors (see below), whose sum is σ = 273310632. Its totient is φ = 61440000.

The previous prime is 131893043. The next prime is 131893087. The reversal of 131893072 is 270398131.

It can be written as a sum of positive squares in 4 ways, for example, as 77369616 + 54523456 = 8796^2 + 7384^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25072 + ... + 29872.

Almost surely, 2^131893072 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 131893072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136655316).

131893072 is an abundant number, since it is smaller than the sum of its proper divisors (141417560).

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

131893072 is a wasteful number, since it uses less digits than its factorization.

131893072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 131893072 is about 11484.4709064023. The cubic root of 131893072 is about 509.0268151685.

It can be divided in two parts, 13189 and 3072, that added together give a palindrome (16261).

The spelling of 131893072 in words is "one hundred thirty-one million, eight hundred ninety-three thousand, seventy-two".