131789268 has 120 divisors (see below), whose sum is σ = 377368992. Its totient is φ = 39859776.

The previous prime is 131789261. The next prime is 131789279. The reversal of 131789268 is 862987131.

It is a super-2 number, since 2×131789268² = 34736822319951648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131789261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281971 + ... + 282437.

Almost surely, 2^131789268 is an apocalyptic number.

131789268 is a gapful number since it is divisible by the number (18) 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 131789268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188684496).

131789268 is an abundant number, since it is smaller than the sum of its proper divisors (245579724).

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

131789268 is a wasteful number, since it uses less digits than its factorization.

131789268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 131789268 is about 11479.9506967582. The cubic root of 131789268 is about 508.8932400767.

The spelling of 131789268 in words is "one hundred thirty-one million, seven hundred eighty-nine thousand, two hundred sixty-eight".