131278896 has 240 divisors, whose sum is σ = 456827904. Its totient is φ = 34338816.

The previous prime is 131278841. The next prime is 131278897. The reversal of 131278896 is 698872131.

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

It is not an unprimeable number, because it can be changed into a prime (131278897) 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, 805311 + ... + 805473.

Almost surely, 2^131278896 is an apocalyptic number.

131278896 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 131278896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228413952).

131278896 is an abundant number, since it is smaller than the sum of its proper divisors (325549008).

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

131278896 is a wasteful number, since it uses less digits than its factorization.

131278896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

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

The square root of 131278896 is about 11457.7002928162. The cubic root of 131278896 is about 508.2354706411.

It can be divided in two parts, 1312 and 78896, that added together give a palindrome (80208).

The spelling of 131278896 in words is "one hundred thirty-one million, two hundred seventy-eight thousand, eight hundred ninety-six".